Finding the Third Proportional to 56,982 and 82,078

Step by Step Solution

1. Step 1: Write the proportion equation
   56,982 : 82,078 = 82,078 : x
2. Step 2: Convert to fraction form
   56,982/82,078 = 82,078/x
3. Step 3: Cross multiply
   56,982x = 82,078 × 82,078
4. Step 4: Simplify right side
   56,982x = 6,736,798,084
5. Step 5: Solve for x
   x = 6,736,798,084/56,982
6. Step 6: Final answer
   x = 118,226.77