Finding the Third Proportional to 76,697 and 179,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,697 : 179,132.50 = 179,132.50 : x
2. Step 2: Convert to fraction form
   76,697/179,132.50 = 179,132.50/x
3. Step 3: Cross multiply
   76,697x = 179,132.50 × 179,132.50
4. Step 4: Simplify right side
   76,697x = 32,088,452,556.25
5. Step 5: Solve for x
   x = 32,088,452,556.25/76,697
6. Step 6: Final answer
   x = 418,379.50