Finding the Third Proportional to 123,657 and 266,514

Step by Step Solution

1. Step 1: Write the proportion equation
   123,657 : 266,514 = 266,514 : x
2. Step 2: Convert to fraction form
   123,657/266,514 = 266,514/x
3. Step 3: Cross multiply
   123,657x = 266,514 × 266,514
4. Step 4: Simplify right side
   123,657x = 71,029,712,196
5. Step 5: Solve for x
   x = 71,029,712,196/123,657
6. Step 6: Final answer
   x = 574,409.15