Finding the Third Proportional to 76,456.50 and 116,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,456.50 : 116,881.50 = 116,881.50 : x
2. Step 2: Convert to fraction form
   76,456.50/116,881.50 = 116,881.50/x
3. Step 3: Cross multiply
   76,456.50x = 116,881.50 × 116,881.50
4. Step 4: Simplify right side
   76,456.50x = 13,661,285,042.25
5. Step 5: Solve for x
   x = 13,661,285,042.25/76,456.50
6. Step 6: Final answer
   x = 178,680.49