Finding the Third Proportional to 78,070 and 116,891

Step by Step Solution

1. Step 1: Write the proportion equation
   78,070 : 116,891 = 116,891 : x
2. Step 2: Convert to fraction form
   78,070/116,891 = 116,891/x
3. Step 3: Cross multiply
   78,070x = 116,891 × 116,891
4. Step 4: Simplify right side
   78,070x = 13,663,505,881
5. Step 5: Solve for x
   x = 13,663,505,881/78,070
6. Step 6: Final answer
   x = 175,016.09