Finding the Third Proportional to 174,472 and 380,688

Step by Step Solution

1. Step 1: Write the proportion equation
   174,472 : 380,688 = 380,688 : x
2. Step 2: Convert to fraction form
   174,472/380,688 = 380,688/x
3. Step 3: Cross multiply
   174,472x = 380,688 × 380,688
4. Step 4: Simplify right side
   174,472x = 144,923,353,344
5. Step 5: Solve for x
   x = 144,923,353,344/174,472
6. Step 6: Final answer
   x = 830,639.61