Finding the Third Proportional to 174,468 and 380,680

Step by Step Solution

1. Step 1: Write the proportion equation
   174,468 : 380,680 = 380,680 : x
2. Step 2: Convert to fraction form
   174,468/380,680 = 380,680/x
3. Step 3: Cross multiply
   174,468x = 380,680 × 380,680
4. Step 4: Simplify right side
   174,468x = 144,917,262,400
5. Step 5: Solve for x
   x = 144,917,262,400/174,468
6. Step 6: Final answer
   x = 830,623.74