Finding the Third Proportional to 93,494.50 and 205,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,494.50 : 205,680.50 = 205,680.50 : x
2. Step 2: Convert to fraction form
   93,494.50/205,680.50 = 205,680.50/x
3. Step 3: Cross multiply
   93,494.50x = 205,680.50 × 205,680.50
4. Step 4: Simplify right side
   93,494.50x = 42,304,468,080.25
5. Step 5: Solve for x
   x = 42,304,468,080.25/93,494.50
6. Step 6: Final answer
   x = 452,480.82