Finding the Third Proportional to 83,714 and 117,357

Step by Step Solution

1. Step 1: Write the proportion equation
   83,714 : 117,357 = 117,357 : x
2. Step 2: Convert to fraction form
   83,714/117,357 = 117,357/x
3. Step 3: Cross multiply
   83,714x = 117,357 × 117,357
4. Step 4: Simplify right side
   83,714x = 13,772,665,449
5. Step 5: Solve for x
   x = 13,772,665,449/83,714
6. Step 6: Final answer
   x = 164,520.46