Finding the Third Proportional to 98,749.50 and 213,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,749.50 : 213,022.50 = 213,022.50 : x
2. Step 2: Convert to fraction form
   98,749.50/213,022.50 = 213,022.50/x
3. Step 3: Cross multiply
   98,749.50x = 213,022.50 × 213,022.50
4. Step 4: Simplify right side
   98,749.50x = 45,378,585,506.25
5. Step 5: Solve for x
   x = 45,378,585,506.25/98,749.50
6. Step 6: Final answer
   x = 459,532.31