Finding the Third Proportional to 164,398 and 359,236

Step by Step Solution

1. Step 1: Write the proportion equation
   164,398 : 359,236 = 359,236 : x
2. Step 2: Convert to fraction form
   164,398/359,236 = 359,236/x
3. Step 3: Cross multiply
   164,398x = 359,236 × 359,236
4. Step 4: Simplify right side
   164,398x = 129,050,503,696
5. Step 5: Solve for x
   x = 129,050,503,696/164,398
6. Step 6: Final answer
   x = 784,988.28