Finding the Third Proportional to 83,634 and 179,396

Step by Step Solution

1. Step 1: Write the proportion equation
   83,634 : 179,396 = 179,396 : x
2. Step 2: Convert to fraction form
   83,634/179,396 = 179,396/x
3. Step 3: Cross multiply
   83,634x = 179,396 × 179,396
4. Step 4: Simplify right side
   83,634x = 32,182,924,816
5. Step 5: Solve for x
   x = 32,182,924,816/83,634
6. Step 6: Final answer
   x = 384,806.72