Finding the Third Proportional to 45,238.50 and 96,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,238.50 : 96,706.50 = 96,706.50 : x
2. Step 2: Convert to fraction form
   45,238.50/96,706.50 = 96,706.50/x
3. Step 3: Cross multiply
   45,238.50x = 96,706.50 × 96,706.50
4. Step 4: Simplify right side
   45,238.50x = 9,352,147,142.25
5. Step 5: Solve for x
   x = 9,352,147,142.25/45,238.50
6. Step 6: Final answer
   x = 206,729.82