Finding the Third Proportional to 82,772 and 124,166

Step by Step Solution

1. Step 1: Write the proportion equation
   82,772 : 124,166 = 124,166 : x
2. Step 2: Convert to fraction form
   82,772/124,166 = 124,166/x
3. Step 3: Cross multiply
   82,772x = 124,166 × 124,166
4. Step 4: Simplify right side
   82,772x = 15,417,195,556
5. Step 5: Solve for x
   x = 15,417,195,556/82,772
6. Step 6: Final answer
   x = 186,261.00