Finding the Third Proportional to 52,084 and 114,040

Step by Step Solution

1. Step 1: Write the proportion equation
   52,084 : 114,040 = 114,040 : x
2. Step 2: Convert to fraction form
   52,084/114,040 = 114,040/x
3. Step 3: Cross multiply
   52,084x = 114,040 × 114,040
4. Step 4: Simplify right side
   52,084x = 13,005,121,600
5. Step 5: Solve for x
   x = 13,005,121,600/52,084
6. Step 6: Final answer
   x = 249,695.14