Finding the Third Proportional to 106,592 and 231,616

Step by Step Solution

1. Step 1: Write the proportion equation
   106,592 : 231,616 = 231,616 : x
2. Step 2: Convert to fraction form
   106,592/231,616 = 231,616/x
3. Step 3: Cross multiply
   106,592x = 231,616 × 231,616
4. Step 4: Simplify right side
   106,592x = 53,645,971,456
5. Step 5: Solve for x
   x = 53,645,971,456/106,592
6. Step 6: Final answer
   x = 503,283.28