Finding the Third Proportional to 106,689 and 233,064

Step by Step Solution

1. Step 1: Write the proportion equation
   106,689 : 233,064 = 233,064 : x
2. Step 2: Convert to fraction form
   106,689/233,064 = 233,064/x
3. Step 3: Cross multiply
   106,689x = 233,064 × 233,064
4. Step 4: Simplify right side
   106,689x = 54,318,828,096
5. Step 5: Solve for x
   x = 54,318,828,096/106,689
6. Step 6: Final answer
   x = 509,132.41