Finding the Third Proportional to 116,856 and 173,484

Step by Step Solution

1. Step 1: Write the proportion equation
   116,856 : 173,484 = 173,484 : x
2. Step 2: Convert to fraction form
   116,856/173,484 = 173,484/x
3. Step 3: Cross multiply
   116,856x = 173,484 × 173,484
4. Step 4: Simplify right side
   116,856x = 30,096,698,256
5. Step 5: Solve for x
   x = 30,096,698,256/116,856
6. Step 6: Final answer
   x = 257,553.73