Finding the Third Proportional to 76,464 and 116,640

Step by Step Solution

1. Step 1: Write the proportion equation
   76,464 : 116,640 = 116,640 : x
2. Step 2: Convert to fraction form
   76,464/116,640 = 116,640/x
3. Step 3: Cross multiply
   76,464x = 116,640 × 116,640
4. Step 4: Simplify right side
   76,464x = 13,604,889,600
5. Step 5: Solve for x
   x = 13,604,889,600/76,464
6. Step 6: Final answer
   x = 177,925.42