Finding the Third Proportional to 83,950 and 117,374

Step by Step Solution

1. Step 1: Write the proportion equation
   83,950 : 117,374 = 117,374 : x
2. Step 2: Convert to fraction form
   83,950/117,374 = 117,374/x
3. Step 3: Cross multiply
   83,950x = 117,374 × 117,374
4. Step 4: Simplify right side
   83,950x = 13,776,655,876
5. Step 5: Solve for x
   x = 13,776,655,876/83,950
6. Step 6: Final answer
   x = 164,105.49