Finding the Third Proportional to 72,565 and 112,082

Step by Step Solution

1. Step 1: Write the proportion equation
   72,565 : 112,082 = 112,082 : x
2. Step 2: Convert to fraction form
   72,565/112,082 = 112,082/x
3. Step 3: Cross multiply
   72,565x = 112,082 × 112,082
4. Step 4: Simplify right side
   72,565x = 12,562,374,724
5. Step 5: Solve for x
   x = 12,562,374,724/72,565
6. Step 6: Final answer
   x = 173,118.92