Finding the Third Proportional to 40,614 and 85,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,614 : 85,846.50 = 85,846.50 : x
2. Step 2: Convert to fraction form
   40,614/85,846.50 = 85,846.50/x
3. Step 3: Cross multiply
   40,614x = 85,846.50 × 85,846.50
4. Step 4: Simplify right side
   40,614x = 7,369,621,562.25
5. Step 5: Solve for x
   x = 7,369,621,562.25/40,614
6. Step 6: Final answer
   x = 181,455.20