Finding the Third Proportional to 164,705 and 359,528

Step by Step Solution

1. Step 1: Write the proportion equation
   164,705 : 359,528 = 359,528 : x
2. Step 2: Convert to fraction form
   164,705/359,528 = 359,528/x
3. Step 3: Cross multiply
   164,705x = 359,528 × 359,528
4. Step 4: Simplify right side
   164,705x = 129,260,382,784
5. Step 5: Solve for x
   x = 129,260,382,784/164,705
6. Step 6: Final answer
   x = 784,799.39