Finding the Third Proportional to 76,504 and 112,422

Step by Step Solution

1. Step 1: Write the proportion equation
   76,504 : 112,422 = 112,422 : x
2. Step 2: Convert to fraction form
   76,504/112,422 = 112,422/x
3. Step 3: Cross multiply
   76,504x = 112,422 × 112,422
4. Step 4: Simplify right side
   76,504x = 12,638,706,084
5. Step 5: Solve for x
   x = 12,638,706,084/76,504
6. Step 6: Final answer
   x = 165,203.21