Finding the Third Proportional to 76,509 and 112,401

Step by Step Solution

1. Step 1: Write the proportion equation
   76,509 : 112,401 = 112,401 : x
2. Step 2: Convert to fraction form
   76,509/112,401 = 112,401/x
3. Step 3: Cross multiply
   76,509x = 112,401 × 112,401
4. Step 4: Simplify right side
   76,509x = 12,633,984,801
5. Step 5: Solve for x
   x = 12,633,984,801/76,509
6. Step 6: Final answer
   x = 165,130.70