Finding the Third Proportional to 296,050.50 and 458,222.63

Step by Step Solution

1. Step 1: Write the proportion equation
   296,050.50 : 458,222.63 = 458,222.63 : x
2. Step 2: Convert to fraction form
   296,050.50/458,222.63 = 458,222.63/x
3. Step 3: Cross multiply
   296,050.50x = 458,222.63 × 458,222.63
4. Step 4: Simplify right side
   296,050.50x = 209,967,974,061.89
5. Step 5: Solve for x
   x = 209,967,974,061.89/296,050.50
6. Step 6: Final answer
   x = 709,230.26