Finding the Third Proportional to 164,740 and 359,048

Step by Step Solution

1. Step 1: Write the proportion equation
   164,740 : 359,048 = 359,048 : x
2. Step 2: Convert to fraction form
   164,740/359,048 = 359,048/x
3. Step 3: Cross multiply
   164,740x = 359,048 × 359,048
4. Step 4: Simplify right side
   164,740x = 128,915,466,304
5. Step 5: Solve for x
   x = 128,915,466,304/164,740
6. Step 6: Final answer
   x = 782,538.95