Finding the Third Proportional to 205,011 and 307,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,011 : 307,597.50 = 307,597.50 : x
2. Step 2: Convert to fraction form
   205,011/307,597.50 = 307,597.50/x
3. Step 3: Cross multiply
   205,011x = 307,597.50 × 307,597.50
4. Step 4: Simplify right side
   205,011x = 94,616,222,006.25
5. Step 5: Solve for x
   x = 94,616,222,006.25/205,011
6. Step 6: Final answer
   x = 461,517.78