Finding the Third Proportional to 82,980 and 182,088

Step by Step Solution

1. Step 1: Write the proportion equation
   82,980 : 182,088 = 182,088 : x
2. Step 2: Convert to fraction form
   82,980/182,088 = 182,088/x
3. Step 3: Cross multiply
   82,980x = 182,088 × 182,088
4. Step 4: Simplify right side
   82,980x = 33,156,039,744
5. Step 5: Solve for x
   x = 33,156,039,744/82,980
6. Step 6: Final answer
   x = 399,566.64