Finding the Third Proportional to 100,952 and 141,188

Step by Step Solution

1. Step 1: Write the proportion equation
   100,952 : 141,188 = 141,188 : x
2. Step 2: Convert to fraction form
   100,952/141,188 = 141,188/x
3. Step 3: Cross multiply
   100,952x = 141,188 × 141,188
4. Step 4: Simplify right side
   100,952x = 19,934,051,344
5. Step 5: Solve for x
   x = 19,934,051,344/100,952
6. Step 6: Final answer
   x = 197,460.69