Finding the Third Proportional to 77,142 and 116,538

Step by Step Solution

1. Step 1: Write the proportion equation
   77,142 : 116,538 = 116,538 : x
2. Step 2: Convert to fraction form
   77,142/116,538 = 116,538/x
3. Step 3: Cross multiply
   77,142x = 116,538 × 116,538
4. Step 4: Simplify right side
   77,142x = 13,581,105,444
5. Step 5: Solve for x
   x = 13,581,105,444/77,142
6. Step 6: Final answer
   x = 176,053.32