Finding the Third Proportional to 106,934 and 231,510

Step by Step Solution

1. Step 1: Write the proportion equation
   106,934 : 231,510 = 231,510 : x
2. Step 2: Convert to fraction form
   106,934/231,510 = 231,510/x
3. Step 3: Cross multiply
   106,934x = 231,510 × 231,510
4. Step 4: Simplify right side
   106,934x = 53,596,880,100
5. Step 5: Solve for x
   x = 53,596,880,100/106,934
6. Step 6: Final answer
   x = 501,214.58