Finding the Third Proportional to 83,307 and 181,389

Step by Step Solution

1. Step 1: Write the proportion equation
   83,307 : 181,389 = 181,389 : x
2. Step 2: Convert to fraction form
   83,307/181,389 = 181,389/x
3. Step 3: Cross multiply
   83,307x = 181,389 × 181,389
4. Step 4: Simplify right side
   83,307x = 32,901,969,321
5. Step 5: Solve for x
   x = 32,901,969,321/83,307
6. Step 6: Final answer
   x = 394,948.44