Finding the Third Proportional to 101,218 and 214,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,218 : 214,889.50 = 214,889.50 : x
2. Step 2: Convert to fraction form
   101,218/214,889.50 = 214,889.50/x
3. Step 3: Cross multiply
   101,218x = 214,889.50 × 214,889.50
4. Step 4: Simplify right side
   101,218x = 46,177,497,210.25
5. Step 5: Solve for x
   x = 46,177,497,210.25/101,218
6. Step 6: Final answer
   x = 456,218.23