Finding the Third Proportional to 83,646 and 113,478

Step by Step Solution

1. Step 1: Write the proportion equation
   83,646 : 113,478 = 113,478 : x
2. Step 2: Convert to fraction form
   83,646/113,478 = 113,478/x
3. Step 3: Cross multiply
   83,646x = 113,478 × 113,478
4. Step 4: Simplify right side
   83,646x = 12,877,256,484
5. Step 5: Solve for x
   x = 12,877,256,484/83,646
6. Step 6: Final answer
   x = 153,949.46