Finding the Third Proportional to 123,338 and 266,346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,338 : 266,346.50 = 266,346.50 : x
2. Step 2: Convert to fraction form
   123,338/266,346.50 = 266,346.50/x
3. Step 3: Cross multiply
   123,338x = 266,346.50 × 266,346.50
4. Step 4: Simplify right side
   123,338x = 70,940,458,062.25
5. Step 5: Solve for x
   x = 70,940,458,062.25/123,338
6. Step 6: Final answer
   x = 575,171.14