Finding the Third Proportional to 106,123.50 and 144,200.25

Step by Step Solution

1. Step 1: Write the proportion equation
   106,123.50 : 144,200.25 = 144,200.25 : x
2. Step 2: Convert to fraction form
   106,123.50/144,200.25 = 144,200.25/x
3. Step 3: Cross multiply
   106,123.50x = 144,200.25 × 144,200.25
4. Step 4: Simplify right side
   106,123.50x = 20,793,712,100.06
5. Step 5: Solve for x
   x = 20,793,712,100.06/106,123.50
6. Step 6: Final answer
   x = 195,938.81