Finding the Third Proportional to 99,766 and 146,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,766 : 146,731.50 = 146,731.50 : x
2. Step 2: Convert to fraction form
   99,766/146,731.50 = 146,731.50/x
3. Step 3: Cross multiply
   99,766x = 146,731.50 × 146,731.50
4. Step 4: Simplify right side
   99,766x = 21,530,133,092.25
5. Step 5: Solve for x
   x = 21,530,133,092.25/99,766
6. Step 6: Final answer
   x = 215,806.32