Finding the Third Proportional to 83,940 and 117,360

Step by Step Solution

1. Step 1: Write the proportion equation
   83,940 : 117,360 = 117,360 : x
2. Step 2: Convert to fraction form
   83,940/117,360 = 117,360/x
3. Step 3: Cross multiply
   83,940x = 117,360 × 117,360
4. Step 4: Simplify right side
   83,940x = 13,773,369,600
5. Step 5: Solve for x
   x = 13,773,369,600/83,940
6. Step 6: Final answer
   x = 164,085.89