Finding the Third Proportional to 100,869 and 141,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,869 : 141,364.50 = 141,364.50 : x
2. Step 2: Convert to fraction form
   100,869/141,364.50 = 141,364.50/x
3. Step 3: Cross multiply
   100,869x = 141,364.50 × 141,364.50
4. Step 4: Simplify right side
   100,869x = 19,983,921,860.25
5. Step 5: Solve for x
   x = 19,983,921,860.25/100,869
6. Step 6: Final answer
   x = 198,117.58