Finding the Third Proportional to 53,142 and 112,764

Step by Step Solution

1. Step 1: Write the proportion equation
   53,142 : 112,764 = 112,764 : x
2. Step 2: Convert to fraction form
   53,142/112,764 = 112,764/x
3. Step 3: Cross multiply
   53,142x = 112,764 × 112,764
4. Step 4: Simplify right side
   53,142x = 12,715,719,696
5. Step 5: Solve for x
   x = 12,715,719,696/53,142
6. Step 6: Final answer
   x = 239,278.15