Finding the Third Proportional to 72,092 and 113,646

Step by Step Solution

1. Step 1: Write the proportion equation
   72,092 : 113,646 = 113,646 : x
2. Step 2: Convert to fraction form
   72,092/113,646 = 113,646/x
3. Step 3: Cross multiply
   72,092x = 113,646 × 113,646
4. Step 4: Simplify right side
   72,092x = 12,915,413,316
5. Step 5: Solve for x
   x = 12,915,413,316/72,092
6. Step 6: Final answer
   x = 179,151.82