Finding the Third Proportional to 123,196.50 and 266,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,196.50 : 266,053.50 = 266,053.50 : x
2. Step 2: Convert to fraction form
   123,196.50/266,053.50 = 266,053.50/x
3. Step 3: Cross multiply
   123,196.50x = 266,053.50 × 266,053.50
4. Step 4: Simplify right side
   123,196.50x = 70,784,464,862.25
5. Step 5: Solve for x
   x = 70,784,464,862.25/123,196.50
6. Step 6: Final answer
   x = 574,565.55