Finding the Third Proportional to 230,827 and 354,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   230,827 : 354,578.50 = 354,578.50 : x
2. Step 2: Convert to fraction form
   230,827/354,578.50 = 354,578.50/x
3. Step 3: Cross multiply
   230,827x = 354,578.50 × 354,578.50
4. Step 4: Simplify right side
   230,827x = 125,725,912,662.25
5. Step 5: Solve for x
   x = 125,725,912,662.25/230,827
6. Step 6: Final answer
   x = 544,675.94