Finding the Third Proportional to 76,317 and 116,754

Step by Step Solution

1. Step 1: Write the proportion equation
   76,317 : 116,754 = 116,754 : x
2. Step 2: Convert to fraction form
   76,317/116,754 = 116,754/x
3. Step 3: Cross multiply
   76,317x = 116,754 × 116,754
4. Step 4: Simplify right side
   76,317x = 13,631,496,516
5. Step 5: Solve for x
   x = 13,631,496,516/76,317
6. Step 6: Final answer
   x = 178,616.78