Finding the Third Proportional to 56,459 and 82,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,459 : 82,568.50 = 82,568.50 : x
2. Step 2: Convert to fraction form
   56,459/82,568.50 = 82,568.50/x
3. Step 3: Cross multiply
   56,459x = 82,568.50 × 82,568.50
4. Step 4: Simplify right side
   56,459x = 6,817,557,192.25
5. Step 5: Solve for x
   x = 6,817,557,192.25/56,459
6. Step 6: Final answer
   x = 120,752.35