Finding the Third Proportional to 99,745.50 and 214,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,745.50 : 214,309.50 = 214,309.50 : x
2. Step 2: Convert to fraction form
   99,745.50/214,309.50 = 214,309.50/x
3. Step 3: Cross multiply
   99,745.50x = 214,309.50 × 214,309.50
4. Step 4: Simplify right side
   99,745.50x = 45,928,561,790.25
5. Step 5: Solve for x
   x = 45,928,561,790.25/99,745.50
6. Step 6: Final answer
   x = 460,457.48