Finding the Third Proportional to 37,855 and 78,814

Step by Step Solution

1. Step 1: Write the proportion equation
   37,855 : 78,814 = 78,814 : x
2. Step 2: Convert to fraction form
   37,855/78,814 = 78,814/x
3. Step 3: Cross multiply
   37,855x = 78,814 × 78,814
4. Step 4: Simplify right side
   37,855x = 6,211,646,596
5. Step 5: Solve for x
   x = 6,211,646,596/37,855
6. Step 6: Final answer
   x = 164,090.52