Finding the Third Proportional to 83,476 and 181,106

Step by Step Solution

1. Step 1: Write the proportion equation
   83,476 : 181,106 = 181,106 : x
2. Step 2: Convert to fraction form
   83,476/181,106 = 181,106/x
3. Step 3: Cross multiply
   83,476x = 181,106 × 181,106
4. Step 4: Simplify right side
   83,476x = 32,799,383,236
5. Step 5: Solve for x
   x = 32,799,383,236/83,476
6. Step 6: Final answer
   x = 392,919.92