Finding the Third Proportional to 102,002.50 and 222,913

Step by Step Solution

1. Step 1: Write the proportion equation
   102,002.50 : 222,913 = 222,913 : x
2. Step 2: Convert to fraction form
   102,002.50/222,913 = 222,913/x
3. Step 3: Cross multiply
   102,002.50x = 222,913 × 222,913
4. Step 4: Simplify right side
   102,002.50x = 49,690,205,569
5. Step 5: Solve for x
   x = 49,690,205,569/102,002.50
6. Step 6: Final answer
   x = 487,146.94