Finding the Third Proportional to 78,780 and 117,896

Step by Step Solution

1. Step 1: Write the proportion equation
   78,780 : 117,896 = 117,896 : x
2. Step 2: Convert to fraction form
   78,780/117,896 = 117,896/x
3. Step 3: Cross multiply
   78,780x = 117,896 × 117,896
4. Step 4: Simplify right side
   78,780x = 13,899,466,816
5. Step 5: Solve for x
   x = 13,899,466,816/78,780
6. Step 6: Final answer
   x = 176,433.95