Finding the Third Proportional to 123,606 and 266,409

Step by Step Solution

1. Step 1: Write the proportion equation
   123,606 : 266,409 = 266,409 : x
2. Step 2: Convert to fraction form
   123,606/266,409 = 266,409/x
3. Step 3: Cross multiply
   123,606x = 266,409 × 266,409
4. Step 4: Simplify right side
   123,606x = 70,973,755,281
5. Step 5: Solve for x
   x = 70,973,755,281/123,606
6. Step 6: Final answer
   x = 574,193.45