Finding the Third Proportional to 178,499 and 375,406

Step by Step Solution

1. Step 1: Write the proportion equation
   178,499 : 375,406 = 375,406 : x
2. Step 2: Convert to fraction form
   178,499/375,406 = 375,406/x
3. Step 3: Cross multiply
   178,499x = 375,406 × 375,406
4. Step 4: Simplify right side
   178,499x = 140,929,664,836
5. Step 5: Solve for x
   x = 140,929,664,836/178,499
6. Step 6: Final answer
   x = 789,526.35