Finding the Third Proportional to 96,411.50 and 144,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,411.50 : 144,047.50 = 144,047.50 : x
2. Step 2: Convert to fraction form
   96,411.50/144,047.50 = 144,047.50/x
3. Step 3: Cross multiply
   96,411.50x = 144,047.50 × 144,047.50
4. Step 4: Simplify right side
   96,411.50x = 20,749,682,256.25
5. Step 5: Solve for x
   x = 20,749,682,256.25/96,411.50
6. Step 6: Final answer
   x = 215,219.99