Finding the Third Proportional to 101,911.50 and 216,155.25

Step by Step Solution

1. Step 1: Write the proportion equation
   101,911.50 : 216,155.25 = 216,155.25 : x
2. Step 2: Convert to fraction form
   101,911.50/216,155.25 = 216,155.25/x
3. Step 3: Cross multiply
   101,911.50x = 216,155.25 × 216,155.25
4. Step 4: Simplify right side
   101,911.50x = 46,723,092,102.56
5. Step 5: Solve for x
   x = 46,723,092,102.56/101,911.50
6. Step 6: Final answer
   x = 458,467.32