Finding the Third Proportional to 98,640 and 213,046

Step by Step Solution

1. Step 1: Write the proportion equation
   98,640 : 213,046 = 213,046 : x
2. Step 2: Convert to fraction form
   98,640/213,046 = 213,046/x
3. Step 3: Cross multiply
   98,640x = 213,046 × 213,046
4. Step 4: Simplify right side
   98,640x = 45,388,598,116
5. Step 5: Solve for x
   x = 45,388,598,116/98,640
6. Step 6: Final answer
   x = 460,143.94