Finding the Third Proportional to 102,687 and 152,524

Step by Step Solution

1. Step 1: Write the proportion equation
   102,687 : 152,524 = 152,524 : x
2. Step 2: Convert to fraction form
   102,687/152,524 = 152,524/x
3. Step 3: Cross multiply
   102,687x = 152,524 × 152,524
4. Step 4: Simplify right side
   102,687x = 23,263,570,576
5. Step 5: Solve for x
   x = 23,263,570,576/102,687
6. Step 6: Final answer
   x = 226,548.35