Finding the Third Proportional to 72,177 and 113,382

Step by Step Solution

1. Step 1: Write the proportion equation
   72,177 : 113,382 = 113,382 : x
2. Step 2: Convert to fraction form
   72,177/113,382 = 113,382/x
3. Step 3: Cross multiply
   72,177x = 113,382 × 113,382
4. Step 4: Simplify right side
   72,177x = 12,855,477,924
5. Step 5: Solve for x
   x = 12,855,477,924/72,177
6. Step 6: Final answer
   x = 178,110.45