Finding the Third Proportional to 98,665 and 213,095

Step by Step Solution

1. Step 1: Write the proportion equation
   98,665 : 213,095 = 213,095 : x
2. Step 2: Convert to fraction form
   98,665/213,095 = 213,095/x
3. Step 3: Cross multiply
   98,665x = 213,095 × 213,095
4. Step 4: Simplify right side
   98,665x = 45,409,479,025
5. Step 5: Solve for x
   x = 45,409,479,025/98,665
6. Step 6: Final answer
   x = 460,238.98