Finding the Third Proportional to 76,588 and 114,422

Step by Step Solution

1. Step 1: Write the proportion equation
   76,588 : 114,422 = 114,422 : x
2. Step 2: Convert to fraction form
   76,588/114,422 = 114,422/x
3. Step 3: Cross multiply
   76,588x = 114,422 × 114,422
4. Step 4: Simplify right side
   76,588x = 13,092,394,084
5. Step 5: Solve for x
   x = 13,092,394,084/76,588
6. Step 6: Final answer
   x = 170,945.76