Finding the Third Proportional to 56,834 and 82,659

Step by Step Solution

1. Step 1: Write the proportion equation
   56,834 : 82,659 = 82,659 : x
2. Step 2: Convert to fraction form
   56,834/82,659 = 82,659/x
3. Step 3: Cross multiply
   56,834x = 82,659 × 82,659
4. Step 4: Simplify right side
   56,834x = 6,832,510,281
5. Step 5: Solve for x
   x = 6,832,510,281/56,834
6. Step 6: Final answer
   x = 120,218.71