Finding the Third Proportional to 76,320 and 116,746

Step by Step Solution

1. Step 1: Write the proportion equation
   76,320 : 116,746 = 116,746 : x
2. Step 2: Convert to fraction form
   76,320/116,746 = 116,746/x
3. Step 3: Cross multiply
   76,320x = 116,746 × 116,746
4. Step 4: Simplify right side
   76,320x = 13,629,628,516
5. Step 5: Solve for x
   x = 13,629,628,516/76,320
6. Step 6: Final answer
   x = 178,585.28