Finding the Third Proportional to 131,605 and 187,564

Step by Step Solution

1. Step 1: Write the proportion equation
   131,605 : 187,564 = 187,564 : x
2. Step 2: Convert to fraction form
   131,605/187,564 = 187,564/x
3. Step 3: Cross multiply
   131,605x = 187,564 × 187,564
4. Step 4: Simplify right side
   131,605x = 35,180,254,096
5. Step 5: Solve for x
   x = 35,180,254,096/131,605
6. Step 6: Final answer
   x = 267,317.00