Finding the Third Proportional to 82,666 and 180,076

Step by Step Solution

1. Step 1: Write the proportion equation
   82,666 : 180,076 = 180,076 : x
2. Step 2: Convert to fraction form
   82,666/180,076 = 180,076/x
3. Step 3: Cross multiply
   82,666x = 180,076 × 180,076
4. Step 4: Simplify right side
   82,666x = 32,427,365,776
5. Step 5: Solve for x
   x = 32,427,365,776/82,666
6. Step 6: Final answer
   x = 392,269.68