Finding the Third Proportional to 98,720 and 213,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,720 : 213,200.50 = 213,200.50 : x
2. Step 2: Convert to fraction form
   98,720/213,200.50 = 213,200.50/x
3. Step 3: Cross multiply
   98,720x = 213,200.50 × 213,200.50
4. Step 4: Simplify right side
   98,720x = 45,454,453,200.25
5. Step 5: Solve for x
   x = 45,454,453,200.25/98,720
6. Step 6: Final answer
   x = 460,438.14