Finding the Third Proportional to 174,834 and 375,156

Step by Step Solution

1. Step 1: Write the proportion equation
   174,834 : 375,156 = 375,156 : x
2. Step 2: Convert to fraction form
   174,834/375,156 = 375,156/x
3. Step 3: Cross multiply
   174,834x = 375,156 × 375,156
4. Step 4: Simplify right side
   174,834x = 140,742,024,336
5. Step 5: Solve for x
   x = 140,742,024,336/174,834
6. Step 6: Final answer
   x = 805,003.74