Finding the Third Proportional to 76,758 and 165,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,758 : 165,178.50 = 165,178.50 : x
2. Step 2: Convert to fraction form
   76,758/165,178.50 = 165,178.50/x
3. Step 3: Cross multiply
   76,758x = 165,178.50 × 165,178.50
4. Step 4: Simplify right side
   76,758x = 27,283,936,862.25
5. Step 5: Solve for x
   x = 27,283,936,862.25/76,758
6. Step 6: Final answer
   x = 355,453.98