Finding the Third Proportional to 164,642 and 359,416

Step by Step Solution

1. Step 1: Write the proportion equation
   164,642 : 359,416 = 359,416 : x
2. Step 2: Convert to fraction form
   164,642/359,416 = 359,416/x
3. Step 3: Cross multiply
   164,642x = 359,416 × 359,416
4. Step 4: Simplify right side
   164,642x = 129,179,861,056
5. Step 5: Solve for x
   x = 129,179,861,056/164,642
6. Step 6: Final answer
   x = 784,610.62