Finding the Third Proportional to 36,404 and 79,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,404 : 79,819.50 = 79,819.50 : x
2. Step 2: Convert to fraction form
   36,404/79,819.50 = 79,819.50/x
3. Step 3: Cross multiply
   36,404x = 79,819.50 × 79,819.50
4. Step 4: Simplify right side
   36,404x = 6,371,152,580.25
5. Step 5: Solve for x
   x = 6,371,152,580.25/36,404
6. Step 6: Final answer
   x = 175,012.43