Finding the Third Proportional to 52,084 and 112,078

Step by Step Solution

1. Step 1: Write the proportion equation
   52,084 : 112,078 = 112,078 : x
2. Step 2: Convert to fraction form
   52,084/112,078 = 112,078/x
3. Step 3: Cross multiply
   52,084x = 112,078 × 112,078
4. Step 4: Simplify right side
   52,084x = 12,561,478,084
5. Step 5: Solve for x
   x = 12,561,478,084/52,084
6. Step 6: Final answer
   x = 241,177.29