Finding the Third Proportional to 98,664 and 213,084

Step by Step Solution

1. Step 1: Write the proportion equation
   98,664 : 213,084 = 213,084 : x
2. Step 2: Convert to fraction form
   98,664/213,084 = 213,084/x
3. Step 3: Cross multiply
   98,664x = 213,084 × 213,084
4. Step 4: Simplify right side
   98,664x = 45,404,791,056
5. Step 5: Solve for x
   x = 45,404,791,056/98,664
6. Step 6: Final answer
   x = 460,196.13