Finding the Third Proportional to 407,191.50 and 598,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   407,191.50 : 598,945.50 = 598,945.50 : x
2. Step 2: Convert to fraction form
   407,191.50/598,945.50 = 598,945.50/x
3. Step 3: Cross multiply
   407,191.50x = 598,945.50 × 598,945.50
4. Step 4: Simplify right side
   407,191.50x = 358,735,711,970.25
5. Step 5: Solve for x
   x = 358,735,711,970.25/407,191.50
6. Step 6: Final answer
   x = 881,000.00