Finding the Third Proportional to 56,466 and 82,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,466 : 82,579.50 = 82,579.50 : x
2. Step 2: Convert to fraction form
   56,466/82,579.50 = 82,579.50/x
3. Step 3: Cross multiply
   56,466x = 82,579.50 × 82,579.50
4. Step 4: Simplify right side
   56,466x = 6,819,373,820.25
5. Step 5: Solve for x
   x = 6,819,373,820.25/56,466
6. Step 6: Final answer
   x = 120,769.56