Finding the Third Proportional to 101,216.50 and 214,887

Step by Step Solution

1. Step 1: Write the proportion equation
   101,216.50 : 214,887 = 214,887 : x
2. Step 2: Convert to fraction form
   101,216.50/214,887 = 214,887/x
3. Step 3: Cross multiply
   101,216.50x = 214,887 × 214,887
4. Step 4: Simplify right side
   101,216.50x = 46,176,422,769
5. Step 5: Solve for x
   x = 46,176,422,769/101,216.50
6. Step 6: Final answer
   x = 456,214.38