Finding the Third Proportional to 152,413 and 205,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,413 : 205,597.50 = 205,597.50 : x
2. Step 2: Convert to fraction form
   152,413/205,597.50 = 205,597.50/x
3. Step 3: Cross multiply
   152,413x = 205,597.50 × 205,597.50
4. Step 4: Simplify right side
   152,413x = 42,270,332,006.25
5. Step 5: Solve for x
   x = 42,270,332,006.25/152,413
6. Step 6: Final answer
   x = 277,340.73