Finding the Third Proportional to 174,290 and 380,562

Step by Step Solution

1. Step 1: Write the proportion equation
   174,290 : 380,562 = 380,562 : x
2. Step 2: Convert to fraction form
   174,290/380,562 = 380,562/x
3. Step 3: Cross multiply
   174,290x = 380,562 × 380,562
4. Step 4: Simplify right side
   174,290x = 144,827,435,844
5. Step 5: Solve for x
   x = 144,827,435,844/174,290
6. Step 6: Final answer
   x = 830,956.66