Finding the Third Proportional to 101,814 and 217,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,814 : 217,150.50 = 217,150.50 : x
2. Step 2: Convert to fraction form
   101,814/217,150.50 = 217,150.50/x
3. Step 3: Cross multiply
   101,814x = 217,150.50 × 217,150.50
4. Step 4: Simplify right side
   101,814x = 47,154,339,650.25
5. Step 5: Solve for x
   x = 47,154,339,650.25/101,814
6. Step 6: Final answer
   x = 463,142.00