Finding the Third Proportional to 123,350.50 and 265,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,350.50 : 265,734.50 = 265,734.50 : x
2. Step 2: Convert to fraction form
   123,350.50/265,734.50 = 265,734.50/x
3. Step 3: Cross multiply
   123,350.50x = 265,734.50 × 265,734.50
4. Step 4: Simplify right side
   123,350.50x = 70,614,824,490.25
5. Step 5: Solve for x
   x = 70,614,824,490.25/123,350.50
6. Step 6: Final answer
   x = 572,472.95