Finding the Third Proportional to 98,500 and 208,570

Step by Step Solution

1. Step 1: Write the proportion equation
   98,500 : 208,570 = 208,570 : x
2. Step 2: Convert to fraction form
   98,500/208,570 = 208,570/x
3. Step 3: Cross multiply
   98,500x = 208,570 × 208,570
4. Step 4: Simplify right side
   98,500x = 43,501,444,900
5. Step 5: Solve for x
   x = 43,501,444,900/98,500
6. Step 6: Final answer
   x = 441,639.03