Finding the Third Proportional to 174,096 and 260,484

Step by Step Solution

1. Step 1: Write the proportion equation
   174,096 : 260,484 = 260,484 : x
2. Step 2: Convert to fraction form
   174,096/260,484 = 260,484/x
3. Step 3: Cross multiply
   174,096x = 260,484 × 260,484
4. Step 4: Simplify right side
   174,096x = 67,851,914,256
5. Step 5: Solve for x
   x = 67,851,914,256/174,096
6. Step 6: Final answer
   x = 389,738.50