Finding the Third Proportional to 407,047.50 and 598,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   407,047.50 : 598,362.50 = 598,362.50 : x
2. Step 2: Convert to fraction form
   407,047.50/598,362.50 = 598,362.50/x
3. Step 3: Cross multiply
   407,047.50x = 598,362.50 × 598,362.50
4. Step 4: Simplify right side
   407,047.50x = 358,037,681,406.25
5. Step 5: Solve for x
   x = 358,037,681,406.25/407,047.50
6. Step 6: Final answer
   x = 879,596.81