Finding the Third Proportional to 76,313 and 116,738

Step by Step Solution

1. Step 1: Write the proportion equation
   76,313 : 116,738 = 116,738 : x
2. Step 2: Convert to fraction form
   76,313/116,738 = 116,738/x
3. Step 3: Cross multiply
   76,313x = 116,738 × 116,738
4. Step 4: Simplify right side
   76,313x = 13,627,760,644
5. Step 5: Solve for x
   x = 13,627,760,644/76,313
6. Step 6: Final answer
   x = 178,577.18