Finding the Third Proportional to 96,642.50 and 147,834.25

Step by Step Solution

1. Step 1: Write the proportion equation
   96,642.50 : 147,834.25 = 147,834.25 : x
2. Step 2: Convert to fraction form
   96,642.50/147,834.25 = 147,834.25/x
3. Step 3: Cross multiply
   96,642.50x = 147,834.25 × 147,834.25
4. Step 4: Simplify right side
   96,642.50x = 21,854,965,473.06
5. Step 5: Solve for x
   x = 21,854,965,473.06/96,642.50
6. Step 6: Final answer
   x = 226,142.39