Finding the Third Proportional to 76,557 and 112,648

Step by Step Solution

1. Step 1: Write the proportion equation
   76,557 : 112,648 = 112,648 : x
2. Step 2: Convert to fraction form
   76,557/112,648 = 112,648/x
3. Step 3: Cross multiply
   76,557x = 112,648 × 112,648
4. Step 4: Simplify right side
   76,557x = 12,689,571,904
5. Step 5: Solve for x
   x = 12,689,571,904/76,557
6. Step 6: Final answer
   x = 165,753.25