Finding the Third Proportional to 174,842 and 380,820

Step by Step Solution

1. Step 1: Write the proportion equation
   174,842 : 380,820 = 380,820 : x
2. Step 2: Convert to fraction form
   174,842/380,820 = 380,820/x
3. Step 3: Cross multiply
   174,842x = 380,820 × 380,820
4. Step 4: Simplify right side
   174,842x = 145,023,872,400
5. Step 5: Solve for x
   x = 145,023,872,400/174,842
6. Step 6: Final answer
   x = 829,456.72