Finding the Third Proportional to 78,073 and 116,896

Step by Step Solution

1. Step 1: Write the proportion equation
   78,073 : 116,896 = 116,896 : x
2. Step 2: Convert to fraction form
   78,073/116,896 = 116,896/x
3. Step 3: Cross multiply
   78,073x = 116,896 × 116,896
4. Step 4: Simplify right side
   78,073x = 13,664,674,816
5. Step 5: Solve for x
   x = 13,664,674,816/78,073
6. Step 6: Final answer
   x = 175,024.33