Finding the Third Proportional to 105,664.50 and 231,696

Step by Step Solution

1. Step 1: Write the proportion equation
   105,664.50 : 231,696 = 231,696 : x
2. Step 2: Convert to fraction form
   105,664.50/231,696 = 231,696/x
3. Step 3: Cross multiply
   105,664.50x = 231,696 × 231,696
4. Step 4: Simplify right side
   105,664.50x = 53,683,036,416
5. Step 5: Solve for x
   x = 53,683,036,416/105,664.50
6. Step 6: Final answer
   x = 508,051.77