Finding the Third Proportional to 100,687 and 141,142

Step by Step Solution

1. Step 1: Write the proportion equation
   100,687 : 141,142 = 141,142 : x
2. Step 2: Convert to fraction form
   100,687/141,142 = 141,142/x
3. Step 3: Cross multiply
   100,687x = 141,142 × 141,142
4. Step 4: Simplify right side
   100,687x = 19,921,064,164
5. Step 5: Solve for x
   x = 19,921,064,164/100,687
6. Step 6: Final answer
   x = 197,851.40