Finding the Third Proportional to 96,633 and 144,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,633 : 144,499.50 = 144,499.50 : x
2. Step 2: Convert to fraction form
   96,633/144,499.50 = 144,499.50/x
3. Step 3: Cross multiply
   96,633x = 144,499.50 × 144,499.50
4. Step 4: Simplify right side
   96,633x = 20,880,105,500.25
5. Step 5: Solve for x
   x = 20,880,105,500.25/96,633
6. Step 6: Final answer
   x = 216,076.35