Finding the Third Proportional to 72,586 and 112,107

Step by Step Solution

1. Step 1: Write the proportion equation
   72,586 : 112,107 = 112,107 : x
2. Step 2: Convert to fraction form
   72,586/112,107 = 112,107/x
3. Step 3: Cross multiply
   72,586x = 112,107 × 112,107
4. Step 4: Simplify right side
   72,586x = 12,567,979,449
5. Step 5: Solve for x
   x = 12,567,979,449/72,586
6. Step 6: Final answer
   x = 173,146.05