Finding the Third Proportional to 78,139 and 116,694

Step by Step Solution

1. Step 1: Write the proportion equation
   78,139 : 116,694 = 116,694 : x
2. Step 2: Convert to fraction form
   78,139/116,694 = 116,694/x
3. Step 3: Cross multiply
   78,139x = 116,694 × 116,694
4. Step 4: Simplify right side
   78,139x = 13,617,489,636
5. Step 5: Solve for x
   x = 13,617,489,636/78,139
6. Step 6: Final answer
   x = 174,272.64