Finding the Third Proportional to 106,633,268,334 and 222,092,509,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,633,268,334 : 222,092,509,594.50 = 222,092,509,594.50 : x
2. Step 2: Convert to fraction form
   106,633,268,334/222,092,509,594.50 = 222,092,509,594.50/x
3. Step 3: Cross multiply
   106,633,268,334x = 222,092,509,594.50 × 222,092,509,594.50
4. Step 4: Simplify right side
   106,633,268,334x = 49,325,082,817,983,078,727,680
5. Step 5: Solve for x
   x = 49,325,082,817,983,078,727,680/106,633,268,334
6. Step 6: Final answer
   x = 462,567,485,632.02