Finding the Third Proportional to 205,531 and 307,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,531 : 307,456.50 = 307,456.50 : x
2. Step 2: Convert to fraction form
   205,531/307,456.50 = 307,456.50/x
3. Step 3: Cross multiply
   205,531x = 307,456.50 × 307,456.50
4. Step 4: Simplify right side
   205,531x = 94,529,499,392.25
5. Step 5: Solve for x
   x = 94,529,499,392.25/205,531
6. Step 6: Final answer
   x = 459,928.18