Finding the Third Proportional to 100,696 and 141,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,696 : 141,151.50 = 141,151.50 : x
2. Step 2: Convert to fraction form
   100,696/141,151.50 = 141,151.50/x
3. Step 3: Cross multiply
   100,696x = 141,151.50 × 141,151.50
4. Step 4: Simplify right side
   100,696x = 19,923,745,952.25
5. Step 5: Solve for x
   x = 19,923,745,952.25/100,696
6. Step 6: Final answer
   x = 197,860.35