Finding the Third Proportional to 98,724 and 213,209.25

Step by Step Solution

1. Step 1: Write the proportion equation
   98,724 : 213,209.25 = 213,209.25 : x
2. Step 2: Convert to fraction form
   98,724/213,209.25 = 213,209.25/x
3. Step 3: Cross multiply
   98,724x = 213,209.25 × 213,209.25
4. Step 4: Simplify right side
   98,724x = 45,458,184,285.56
5. Step 5: Solve for x
   x = 45,458,184,285.56/98,724
6. Step 6: Final answer
   x = 460,457.28