Finding the Third Proportional to 123,524 and 266,100

Step by Step Solution

1. Step 1: Write the proportion equation
   123,524 : 266,100 = 266,100 : x
2. Step 2: Convert to fraction form
   123,524/266,100 = 266,100/x
3. Step 3: Cross multiply
   123,524x = 266,100 × 266,100
4. Step 4: Simplify right side
   123,524x = 70,809,210,000
5. Step 5: Solve for x
   x = 70,809,210,000/123,524
6. Step 6: Final answer
   x = 573,242.53