Finding the Third Proportional to 52,852.50 and 114,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,852.50 : 114,016.50 = 114,016.50 : x
2. Step 2: Convert to fraction form
   52,852.50/114,016.50 = 114,016.50/x
3. Step 3: Cross multiply
   52,852.50x = 114,016.50 × 114,016.50
4. Step 4: Simplify right side
   52,852.50x = 12,999,762,272.25
5. Step 5: Solve for x
   x = 12,999,762,272.25/52,852.50
6. Step 6: Final answer
   x = 245,963.05