Finding the Third Proportional to 164,752 and 359,952

Step by Step Solution

1. Step 1: Write the proportion equation
   164,752 : 359,952 = 359,952 : x
2. Step 2: Convert to fraction form
   164,752/359,952 = 359,952/x
3. Step 3: Cross multiply
   164,752x = 359,952 × 359,952
4. Step 4: Simplify right side
   164,752x = 129,565,442,304
5. Step 5: Solve for x
   x = 129,565,442,304/164,752
6. Step 6: Final answer
   x = 786,427.13