Finding the Third Proportional to 174,836 and 383,034

Step by Step Solution

1. Step 1: Write the proportion equation
   174,836 : 383,034 = 383,034 : x
2. Step 2: Convert to fraction form
   174,836/383,034 = 383,034/x
3. Step 3: Cross multiply
   174,836x = 383,034 × 383,034
4. Step 4: Simplify right side
   174,836x = 146,715,045,156
5. Step 5: Solve for x
   x = 146,715,045,156/174,836
6. Step 6: Final answer
   x = 839,158.10