Finding the Third Proportional to 39,186 and 92,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,186 : 92,488.50 = 92,488.50 : x
2. Step 2: Convert to fraction form
   39,186/92,488.50 = 92,488.50/x
3. Step 3: Cross multiply
   39,186x = 92,488.50 × 92,488.50
4. Step 4: Simplify right side
   39,186x = 8,554,122,632.25
5. Step 5: Solve for x
   x = 8,554,122,632.25/39,186
6. Step 6: Final answer
   x = 218,295.38