Finding the Third Proportional to 39,405 and 85,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,405 : 85,363.50 = 85,363.50 : x
2. Step 2: Convert to fraction form
   39,405/85,363.50 = 85,363.50/x
3. Step 3: Cross multiply
   39,405x = 85,363.50 × 85,363.50
4. Step 4: Simplify right side
   39,405x = 7,286,927,132.25
5. Step 5: Solve for x
   x = 7,286,927,132.25/39,405
6. Step 6: Final answer
   x = 184,923.92