Finding the Third Proportional to 93,024 and 200,538

Step by Step Solution

1. Step 1: Write the proportion equation
   93,024 : 200,538 = 200,538 : x
2. Step 2: Convert to fraction form
   93,024/200,538 = 200,538/x
3. Step 3: Cross multiply
   93,024x = 200,538 × 200,538
4. Step 4: Simplify right side
   93,024x = 40,215,489,444
5. Step 5: Solve for x
   x = 40,215,489,444/93,024
6. Step 6: Final answer
   x = 432,313.05