Finding the Third Proportional to 296,152.50 and 458,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,152.50 : 458,071.50 = 458,071.50 : x
2. Step 2: Convert to fraction form
   296,152.50/458,071.50 = 458,071.50/x
3. Step 3: Cross multiply
   296,152.50x = 458,071.50 × 458,071.50
4. Step 4: Simplify right side
   296,152.50x = 209,829,499,112.25
5. Step 5: Solve for x
   x = 209,829,499,112.25/296,152.50
6. Step 6: Final answer
   x = 708,518.41