Finding the Third Proportional to 52,258.50 and 114,525

Step by Step Solution

1. Step 1: Write the proportion equation
   52,258.50 : 114,525 = 114,525 : x
2. Step 2: Convert to fraction form
   52,258.50/114,525 = 114,525/x
3. Step 3: Cross multiply
   52,258.50x = 114,525 × 114,525
4. Step 4: Simplify right side
   52,258.50x = 13,115,975,625
5. Step 5: Solve for x
   x = 13,115,975,625/52,258.50
6. Step 6: Final answer
   x = 250,982.63