Finding the Third Proportional to 59,902.50 and 115,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,902.50 : 115,147.50 = 115,147.50 : x
2. Step 2: Convert to fraction form
   59,902.50/115,147.50 = 115,147.50/x
3. Step 3: Cross multiply
   59,902.50x = 115,147.50 × 115,147.50
4. Step 4: Simplify right side
   59,902.50x = 13,258,946,756.25
5. Step 5: Solve for x
   x = 13,258,946,756.25/59,902.50
6. Step 6: Final answer
   x = 221,342.13