Finding the Third Proportional to 164,548 and 359,256

Step by Step Solution

1. Step 1: Write the proportion equation
   164,548 : 359,256 = 359,256 : x
2. Step 2: Convert to fraction form
   164,548/359,256 = 359,256/x
3. Step 3: Cross multiply
   164,548x = 359,256 × 359,256
4. Step 4: Simplify right side
   164,548x = 129,064,873,536
5. Step 5: Solve for x
   x = 129,064,873,536/164,548
6. Step 6: Final answer
   x = 784,360.03