Finding the Third Proportional to 82,971 and 182,070

Step by Step Solution

1. Step 1: Write the proportion equation
   82,971 : 182,070 = 182,070 : x
2. Step 2: Convert to fraction form
   82,971/182,070 = 182,070/x
3. Step 3: Cross multiply
   82,971x = 182,070 × 182,070
4. Step 4: Simplify right side
   82,971x = 33,149,484,900
5. Step 5: Solve for x
   x = 33,149,484,900/82,971
6. Step 6: Final answer
   x = 399,530.98