Finding the Third Proportional to 98,642 and 213,050

Step by Step Solution

1. Step 1: Write the proportion equation
   98,642 : 213,050 = 213,050 : x
2. Step 2: Convert to fraction form
   98,642/213,050 = 213,050/x
3. Step 3: Cross multiply
   98,642x = 213,050 × 213,050
4. Step 4: Simplify right side
   98,642x = 45,390,302,500
5. Step 5: Solve for x
   x = 45,390,302,500/98,642
6. Step 6: Final answer
   x = 460,151.89