Finding the Third Proportional to 106,528 and 233,099

Step by Step Solution

1. Step 1: Write the proportion equation
   106,528 : 233,099 = 233,099 : x
2. Step 2: Convert to fraction form
   106,528/233,099 = 233,099/x
3. Step 3: Cross multiply
   106,528x = 233,099 × 233,099
4. Step 4: Simplify right side
   106,528x = 54,335,143,801
5. Step 5: Solve for x
   x = 54,335,143,801/106,528
6. Step 6: Final answer
   x = 510,055.04