Finding the Third Proportional to 37,238 and 79,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,238 : 79,806.50 = 79,806.50 : x
2. Step 2: Convert to fraction form
   37,238/79,806.50 = 79,806.50/x
3. Step 3: Cross multiply
   37,238x = 79,806.50 × 79,806.50
4. Step 4: Simplify right side
   37,238x = 6,369,077,442.25
5. Step 5: Solve for x
   x = 6,369,077,442.25/37,238
6. Step 6: Final answer
   x = 171,037.04