Finding the Third Proportional to 39,606 and 85,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,606 : 85,420.50 = 85,420.50 : x
2. Step 2: Convert to fraction form
   39,606/85,420.50 = 85,420.50/x
3. Step 3: Cross multiply
   39,606x = 85,420.50 × 85,420.50
4. Step 4: Simplify right side
   39,606x = 7,296,661,820.25
5. Step 5: Solve for x
   x = 7,296,661,820.25/39,606
6. Step 6: Final answer
   x = 184,231.22