Finding the Third Proportional to 164,520 and 359,253

Step by Step Solution

1. Step 1: Write the proportion equation
   164,520 : 359,253 = 359,253 : x
2. Step 2: Convert to fraction form
   164,520/359,253 = 359,253/x
3. Step 3: Cross multiply
   164,520x = 359,253 × 359,253
4. Step 4: Simplify right side
   164,520x = 129,062,718,009
5. Step 5: Solve for x
   x = 129,062,718,009/164,520
6. Step 6: Final answer
   x = 784,480.42