Finding the Third Proportional to 93,491 and 205,680

Step by Step Solution

1. Step 1: Write the proportion equation
   93,491 : 205,680 = 205,680 : x
2. Step 2: Convert to fraction form
   93,491/205,680 = 205,680/x
3. Step 3: Cross multiply
   93,491x = 205,680 × 205,680
4. Step 4: Simplify right side
   93,491x = 42,304,262,400
5. Step 5: Solve for x
   x = 42,304,262,400/93,491
6. Step 6: Final answer
   x = 452,495.56