Finding the Third Proportional to 76,664.25 and 116,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,664.25 : 116,380.50 = 116,380.50 : x
2. Step 2: Convert to fraction form
   76,664.25/116,380.50 = 116,380.50/x
3. Step 3: Cross multiply
   76,664.25x = 116,380.50 × 116,380.50
4. Step 4: Simplify right side
   76,664.25x = 13,544,420,780.25
5. Step 5: Solve for x
   x = 13,544,420,780.25/76,664.25
6. Step 6: Final answer
   x = 176,671.93