Finding the Third Proportional to 131,624 and 187,584

Step by Step Solution

1. Step 1: Write the proportion equation
   131,624 : 187,584 = 187,584 : x
2. Step 2: Convert to fraction form
   131,624/187,584 = 187,584/x
3. Step 3: Cross multiply
   131,624x = 187,584 × 187,584
4. Step 4: Simplify right side
   131,624x = 35,187,757,056
5. Step 5: Solve for x
   x = 35,187,757,056/131,624
6. Step 6: Final answer
   x = 267,335.42