Finding the Third Proportional to 164,701 and 359,520

Step by Step Solution

1. Step 1: Write the proportion equation
   164,701 : 359,520 = 359,520 : x
2. Step 2: Convert to fraction form
   164,701/359,520 = 359,520/x
3. Step 3: Cross multiply
   164,701x = 359,520 × 359,520
4. Step 4: Simplify right side
   164,701x = 129,254,630,400
5. Step 5: Solve for x
   x = 129,254,630,400/164,701
6. Step 6: Final answer
   x = 784,783.52