Finding the Third Proportional to 293,422.50 and 464,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   293,422.50 : 464,737.50 = 464,737.50 : x
2. Step 2: Convert to fraction form
   293,422.50/464,737.50 = 464,737.50/x
3. Step 3: Cross multiply
   293,422.50x = 464,737.50 × 464,737.50
4. Step 4: Simplify right side
   293,422.50x = 215,980,943,906.25
5. Step 5: Solve for x
   x = 215,980,943,906.25/293,422.50
6. Step 6: Final answer
   x = 736,074.92