Finding the Third Proportional to 83,920 and 117,333

Step by Step Solution

1. Step 1: Write the proportion equation
   83,920 : 117,333 = 117,333 : x
2. Step 2: Convert to fraction form
   83,920/117,333 = 117,333/x
3. Step 3: Cross multiply
   83,920x = 117,333 × 117,333
4. Step 4: Simplify right side
   83,920x = 13,767,032,889
5. Step 5: Solve for x
   x = 13,767,032,889/83,920
6. Step 6: Final answer
   x = 164,049.49