Finding the Third Proportional to 93,540 and 200,364

Step by Step Solution

1. Step 1: Write the proportion equation
   93,540 : 200,364 = 200,364 : x
2. Step 2: Convert to fraction form
   93,540/200,364 = 200,364/x
3. Step 3: Cross multiply
   93,540x = 200,364 × 200,364
4. Step 4: Simplify right side
   93,540x = 40,145,732,496
5. Step 5: Solve for x
   x = 40,145,732,496/93,540
6. Step 6: Final answer
   x = 429,182.52