Finding the Third Proportional to 99,771 and 149,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,771 : 149,650.50 = 149,650.50 : x
2. Step 2: Convert to fraction form
   99,771/149,650.50 = 149,650.50/x
3. Step 3: Cross multiply
   99,771x = 149,650.50 × 149,650.50
4. Step 4: Simplify right side
   99,771x = 22,395,272,150.25
5. Step 5: Solve for x
   x = 22,395,272,150.25/99,771
6. Step 6: Final answer
   x = 224,466.75