Finding the Third Proportional to 123,494 and 266,188

Step by Step Solution

1. Step 1: Write the proportion equation
   123,494 : 266,188 = 266,188 : x
2. Step 2: Convert to fraction form
   123,494/266,188 = 266,188/x
3. Step 3: Cross multiply
   123,494x = 266,188 × 266,188
4. Step 4: Simplify right side
   123,494x = 70,856,051,344
5. Step 5: Solve for x
   x = 70,856,051,344/123,494
6. Step 6: Final answer
   x = 573,761.08