Finding the Third Proportional to 123,152.50 and 266,545.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,152.50 : 266,545.25 = 266,545.25 : x
2. Step 2: Convert to fraction form
   123,152.50/266,545.25 = 266,545.25/x
3. Step 3: Cross multiply
   123,152.50x = 266,545.25 × 266,545.25
4. Step 4: Simplify right side
   123,152.50x = 71,046,370,297.56
5. Step 5: Solve for x
   x = 71,046,370,297.56/123,152.50
6. Step 6: Final answer
   x = 576,897.51