Finding the Third Proportional to 164,742 and 359,052

Step by Step Solution

1. Step 1: Write the proportion equation
   164,742 : 359,052 = 359,052 : x
2. Step 2: Convert to fraction form
   164,742/359,052 = 359,052/x
3. Step 3: Cross multiply
   164,742x = 359,052 × 359,052
4. Step 4: Simplify right side
   164,742x = 128,918,338,704
5. Step 5: Solve for x
   x = 128,918,338,704/164,742
6. Step 6: Final answer
   x = 782,546.88