Finding the Third Proportional to 406,948.50 and 598,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   406,948.50 : 598,662.50 = 598,662.50 : x
2. Step 2: Convert to fraction form
   406,948.50/598,662.50 = 598,662.50/x
3. Step 3: Cross multiply
   406,948.50x = 598,662.50 × 598,662.50
4. Step 4: Simplify right side
   406,948.50x = 358,396,788,906.25
5. Step 5: Solve for x
   x = 358,396,788,906.25/406,948.50
6. Step 6: Final answer
   x = 880,693.23