Finding the Third Proportional to 164,408 and 359,254

Step by Step Solution

1. Step 1: Write the proportion equation
   164,408 : 359,254 = 359,254 : x
2. Step 2: Convert to fraction form
   164,408/359,254 = 359,254/x
3. Step 3: Cross multiply
   164,408x = 359,254 × 359,254
4. Step 4: Simplify right side
   164,408x = 129,063,436,516
5. Step 5: Solve for x
   x = 129,063,436,516/164,408
6. Step 6: Final answer
   x = 785,019.20