Finding the Third Proportional to 37,567 and 87,800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,567 : 87,800.50 = 87,800.50 : x
2. Step 2: Convert to fraction form
   37,567/87,800.50 = 87,800.50/x
3. Step 3: Cross multiply
   37,567x = 87,800.50 × 87,800.50
4. Step 4: Simplify right side
   37,567x = 7,708,927,800.25
5. Step 5: Solve for x
   x = 7,708,927,800.25/37,567
6. Step 6: Final answer
   x = 205,204.78