Finding the Third Proportional to 106,098 and 144,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,098 : 144,178.50 = 144,178.50 : x
2. Step 2: Convert to fraction form
   106,098/144,178.50 = 144,178.50/x
3. Step 3: Cross multiply
   106,098x = 144,178.50 × 144,178.50
4. Step 4: Simplify right side
   106,098x = 20,787,439,862.25
5. Step 5: Solve for x
   x = 20,787,439,862.25/106,098
6. Step 6: Final answer
   x = 195,926.78