Finding the Third Proportional to 76,214.50 and 175,290

Step by Step Solution

1. Step 1: Write the proportion equation
   76,214.50 : 175,290 = 175,290 : x
2. Step 2: Convert to fraction form
   76,214.50/175,290 = 175,290/x
3. Step 3: Cross multiply
   76,214.50x = 175,290 × 175,290
4. Step 4: Simplify right side
   76,214.50x = 30,726,584,100
5. Step 5: Solve for x
   x = 30,726,584,100/76,214.50
6. Step 6: Final answer
   x = 403,159.30