Finding the Third Proportional to 52,568 and 83,229

Step by Step Solution

1. Step 1: Write the proportion equation
   52,568 : 83,229 = 83,229 : x
2. Step 2: Convert to fraction form
   52,568/83,229 = 83,229/x
3. Step 3: Cross multiply
   52,568x = 83,229 × 83,229
4. Step 4: Simplify right side
   52,568x = 6,927,066,441
5. Step 5: Solve for x
   x = 6,927,066,441/52,568
6. Step 6: Final answer
   x = 131,773.44