Finding the Third Proportional to 77,926 and 111,431

Step by Step Solution

1. Step 1: Write the proportion equation
   77,926 : 111,431 = 111,431 : x
2. Step 2: Convert to fraction form
   77,926/111,431 = 111,431/x
3. Step 3: Cross multiply
   77,926x = 111,431 × 111,431
4. Step 4: Simplify right side
   77,926x = 12,416,867,761
5. Step 5: Solve for x
   x = 12,416,867,761/77,926
6. Step 6: Final answer
   x = 159,341.78