Finding the Third Proportional to 39,078 and 92,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,078 : 92,155.50 = 92,155.50 : x
2. Step 2: Convert to fraction form
   39,078/92,155.50 = 92,155.50/x
3. Step 3: Cross multiply
   39,078x = 92,155.50 × 92,155.50
4. Step 4: Simplify right side
   39,078x = 8,492,636,180.25
5. Step 5: Solve for x
   x = 8,492,636,180.25/39,078
6. Step 6: Final answer
   x = 217,325.25