Finding the Third Proportional to 76,356 and 112,254

Step by Step Solution

1. Step 1: Write the proportion equation
   76,356 : 112,254 = 112,254 : x
2. Step 2: Convert to fraction form
   76,356/112,254 = 112,254/x
3. Step 3: Cross multiply
   76,356x = 112,254 × 112,254
4. Step 4: Simplify right side
   76,356x = 12,600,960,516
5. Step 5: Solve for x
   x = 12,600,960,516/76,356
6. Step 6: Final answer
   x = 165,029.08