Finding the Third Proportional to 36,801 and 85,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,801 : 85,846.50 = 85,846.50 : x
2. Step 2: Convert to fraction form
   36,801/85,846.50 = 85,846.50/x
3. Step 3: Cross multiply
   36,801x = 85,846.50 × 85,846.50
4. Step 4: Simplify right side
   36,801x = 7,369,621,562.25
5. Step 5: Solve for x
   x = 7,369,621,562.25/36,801
6. Step 6: Final answer
   x = 200,256.01