Finding the Third Proportional to 174,464 and 380,672

Step by Step Solution

1. Step 1: Write the proportion equation
   174,464 : 380,672 = 380,672 : x
2. Step 2: Convert to fraction form
   174,464/380,672 = 380,672/x
3. Step 3: Cross multiply
   174,464x = 380,672 × 380,672
4. Step 4: Simplify right side
   174,464x = 144,911,171,584
5. Step 5: Solve for x
   x = 144,911,171,584/174,464
6. Step 6: Final answer
   x = 830,607.87