Finding the Third Proportional to 105,637.50 and 144,848.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,637.50 : 144,848.25 = 144,848.25 : x
2. Step 2: Convert to fraction form
   105,637.50/144,848.25 = 144,848.25/x
3. Step 3: Cross multiply
   105,637.50x = 144,848.25 × 144,848.25
4. Step 4: Simplify right side
   105,637.50x = 20,981,015,528.06
5. Step 5: Solve for x
   x = 20,981,015,528.06/105,637.50
6. Step 6: Final answer
   x = 198,613.33