Finding the Third Proportional to 76,778.50 and 118,448

Step by Step Solution

1. Step 1: Write the proportion equation
   76,778.50 : 118,448 = 118,448 : x
2. Step 2: Convert to fraction form
   76,778.50/118,448 = 118,448/x
3. Step 3: Cross multiply
   76,778.50x = 118,448 × 118,448
4. Step 4: Simplify right side
   76,778.50x = 14,029,928,704
5. Step 5: Solve for x
   x = 14,029,928,704/76,778.50
6. Step 6: Final answer
   x = 182,732.52