Finding the Third Proportional to 35,926 and 78,914

Step by Step Solution

1. Step 1: Write the proportion equation
   35,926 : 78,914 = 78,914 : x
2. Step 2: Convert to fraction form
   35,926/78,914 = 78,914/x
3. Step 3: Cross multiply
   35,926x = 78,914 × 78,914
4. Step 4: Simplify right side
   35,926x = 6,227,419,396
5. Step 5: Solve for x
   x = 6,227,419,396/35,926
6. Step 6: Final answer
   x = 173,340.18