Finding the Third Proportional to 78,400 and 112,062

Step by Step Solution

1. Step 1: Write the proportion equation
   78,400 : 112,062 = 112,062 : x
2. Step 2: Convert to fraction form
   78,400/112,062 = 112,062/x
3. Step 3: Cross multiply
   78,400x = 112,062 × 112,062
4. Step 4: Simplify right side
   78,400x = 12,557,891,844
5. Step 5: Solve for x
   x = 12,557,891,844/78,400
6. Step 6: Final answer
   x = 160,177.19