Finding the Third Proportional to 98,816 and 213,076

Step by Step Solution

1. Step 1: Write the proportion equation
   98,816 : 213,076 = 213,076 : x
2. Step 2: Convert to fraction form
   98,816/213,076 = 213,076/x
3. Step 3: Cross multiply
   98,816x = 213,076 × 213,076
4. Step 4: Simplify right side
   98,816x = 45,401,381,776
5. Step 5: Solve for x
   x = 45,401,381,776/98,816
6. Step 6: Final answer
   x = 459,453.75