Finding the Third Proportional to 96,835.50 and 141,401.25

Step by Step Solution

1. Step 1: Write the proportion equation
   96,835.50 : 141,401.25 = 141,401.25 : x
2. Step 2: Convert to fraction form
   96,835.50/141,401.25 = 141,401.25/x
3. Step 3: Cross multiply
   96,835.50x = 141,401.25 × 141,401.25
4. Step 4: Simplify right side
   96,835.50x = 19,994,313,501.56
5. Step 5: Solve for x
   x = 19,994,313,501.56/96,835.50
6. Step 6: Final answer
   x = 206,477.10