Finding the Third Proportional to 174,560 and 380,224

Step by Step Solution

1. Step 1: Write the proportion equation
   174,560 : 380,224 = 380,224 : x
2. Step 2: Convert to fraction form
   174,560/380,224 = 380,224/x
3. Step 3: Cross multiply
   174,560x = 380,224 × 380,224
4. Step 4: Simplify right side
   174,560x = 144,570,290,176
5. Step 5: Solve for x
   x = 144,570,290,176/174,560
6. Step 6: Final answer
   x = 828,198.27