Finding the Third Proportional to 123,414 and 266,064

Step by Step Solution

1. Step 1: Write the proportion equation
   123,414 : 266,064 = 266,064 : x
2. Step 2: Convert to fraction form
   123,414/266,064 = 266,064/x
3. Step 3: Cross multiply
   123,414x = 266,064 × 266,064
4. Step 4: Simplify right side
   123,414x = 70,790,052,096
5. Step 5: Solve for x
   x = 70,790,052,096/123,414
6. Step 6: Final answer
   x = 573,598.23