Finding the Third Proportional to 78,874.50 and 114,711

Step by Step Solution

1. Step 1: Write the proportion equation
   78,874.50 : 114,711 = 114,711 : x
2. Step 2: Convert to fraction form
   78,874.50/114,711 = 114,711/x
3. Step 3: Cross multiply
   78,874.50x = 114,711 × 114,711
4. Step 4: Simplify right side
   78,874.50x = 13,158,613,521
5. Step 5: Solve for x
   x = 13,158,613,521/78,874.50
6. Step 6: Final answer
   x = 166,829.76