Finding the Third Proportional to 123,162.50 and 266,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,162.50 : 266,567.50 = 266,567.50 : x
2. Step 2: Convert to fraction form
   123,162.50/266,567.50 = 266,567.50/x
3. Step 3: Cross multiply
   123,162.50x = 266,567.50 × 266,567.50
4. Step 4: Simplify right side
   123,162.50x = 71,058,232,056.25
5. Step 5: Solve for x
   x = 71,058,232,056.25/123,162.50
6. Step 6: Final answer
   x = 576,946.98