Finding the Third Proportional to 222,589 and 456,113

Step by Step Solution

1. Step 1: Write the proportion equation
   222,589 : 456,113 = 456,113 : x
2. Step 2: Convert to fraction form
   222,589/456,113 = 456,113/x
3. Step 3: Cross multiply
   222,589x = 456,113 × 456,113
4. Step 4: Simplify right side
   222,589x = 208,039,068,769
5. Step 5: Solve for x
   x = 208,039,068,769/222,589
6. Step 6: Final answer
   x = 934,633.20