Finding the Third Proportional to 100,884.50 and 141,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,884.50 : 141,386.50 = 141,386.50 : x
2. Step 2: Convert to fraction form
   100,884.50/141,386.50 = 141,386.50/x
3. Step 3: Cross multiply
   100,884.50x = 141,386.50 × 141,386.50
4. Step 4: Simplify right side
   100,884.50x = 19,990,142,382.25
5. Step 5: Solve for x
   x = 19,990,142,382.25/100,884.50
6. Step 6: Final answer
   x = 198,148.80