Finding the Third Proportional to 164,581 and 359,320

Step by Step Solution

1. Step 1: Write the proportion equation
   164,581 : 359,320 = 359,320 : x
2. Step 2: Convert to fraction form
   164,581/359,320 = 359,320/x
3. Step 3: Cross multiply
   164,581x = 359,320 × 359,320
4. Step 4: Simplify right side
   164,581x = 129,110,862,400
5. Step 5: Solve for x
   x = 129,110,862,400/164,581
6. Step 6: Final answer
   x = 784,482.18