Finding the Third Proportional to 174,470 and 380,684

Step by Step Solution

1. Step 1: Write the proportion equation
   174,470 : 380,684 = 380,684 : x
2. Step 2: Convert to fraction form
   174,470/380,684 = 380,684/x
3. Step 3: Cross multiply
   174,470x = 380,684 × 380,684
4. Step 4: Simplify right side
   174,470x = 144,920,307,856
5. Step 5: Solve for x
   x = 144,920,307,856/174,470
6. Step 6: Final answer
   x = 830,631.67