Finding the Third Proportional to 39,774 and 86,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,774 : 86,581.50 = 86,581.50 : x
2. Step 2: Convert to fraction form
   39,774/86,581.50 = 86,581.50/x
3. Step 3: Cross multiply
   39,774x = 86,581.50 × 86,581.50
4. Step 4: Simplify right side
   39,774x = 7,496,356,142.25
5. Step 5: Solve for x
   x = 7,496,356,142.25/39,774
6. Step 6: Final answer
   x = 188,473.78