Finding the Third Proportional to 48,151.50 and 116,515.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,151.50 : 116,515.50 = 116,515.50 : x
2. Step 2: Convert to fraction form
   48,151.50/116,515.50 = 116,515.50/x
3. Step 3: Cross multiply
   48,151.50x = 116,515.50 × 116,515.50
4. Step 4: Simplify right side
   48,151.50x = 13,575,861,740.25
5. Step 5: Solve for x
   x = 13,575,861,740.25/48,151.50
6. Step 6: Final answer
   x = 281,940.58