Finding the Third Proportional to 98,900 and 213,712

Step by Step Solution

1. Step 1: Write the proportion equation
   98,900 : 213,712 = 213,712 : x
2. Step 2: Convert to fraction form
   98,900/213,712 = 213,712/x
3. Step 3: Cross multiply
   98,900x = 213,712 × 213,712
4. Step 4: Simplify right side
   98,900x = 45,672,818,944
5. Step 5: Solve for x
   x = 45,672,818,944/98,900
6. Step 6: Final answer
   x = 461,808.08