Finding the Third Proportional to 123,160 and 266,560

Step by Step Solution

1. Step 1: Write the proportion equation
   123,160 : 266,560 = 266,560 : x
2. Step 2: Convert to fraction form
   123,160/266,560 = 266,560/x
3. Step 3: Cross multiply
   123,160x = 266,560 × 266,560
4. Step 4: Simplify right side
   123,160x = 71,054,233,600
5. Step 5: Solve for x
   x = 71,054,233,600/123,160
6. Step 6: Final answer
   x = 576,926.22