Finding the Third Proportional to 131,642 and 188,114

Step by Step Solution

1. Step 1: Write the proportion equation
   131,642 : 188,114 = 188,114 : x
2. Step 2: Convert to fraction form
   131,642/188,114 = 188,114/x
3. Step 3: Cross multiply
   131,642x = 188,114 × 188,114
4. Step 4: Simplify right side
   131,642x = 35,386,876,996
5. Step 5: Solve for x
   x = 35,386,876,996/131,642
6. Step 6: Final answer
   x = 268,811.45