Finding the Third Proportional to 82,314 and 181,764

Step by Step Solution

1. Step 1: Write the proportion equation
   82,314 : 181,764 = 181,764 : x
2. Step 2: Convert to fraction form
   82,314/181,764 = 181,764/x
3. Step 3: Cross multiply
   82,314x = 181,764 × 181,764
4. Step 4: Simplify right side
   82,314x = 33,038,151,696
5. Step 5: Solve for x
   x = 33,038,151,696/82,314
6. Step 6: Final answer
   x = 401,367.35