Finding the Third Proportional to 37,078.50 and 79,988.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,078.50 : 79,988.25 = 79,988.25 : x
2. Step 2: Convert to fraction form
   37,078.50/79,988.25 = 79,988.25/x
3. Step 3: Cross multiply
   37,078.50x = 79,988.25 × 79,988.25
4. Step 4: Simplify right side
   37,078.50x = 6,398,120,138.06
5. Step 5: Solve for x
   x = 6,398,120,138.06/37,078.50
6. Step 6: Final answer
   x = 172,556.07