Finding the Third Proportional to 333,998 and 727,937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,998 : 727,937.50 = 727,937.50 : x
2. Step 2: Convert to fraction form
   333,998/727,937.50 = 727,937.50/x
3. Step 3: Cross multiply
   333,998x = 727,937.50 × 727,937.50
4. Step 4: Simplify right side
   333,998x = 529,893,003,906.25
5. Step 5: Solve for x
   x = 529,893,003,906.25/333,998
6. Step 6: Final answer
   x = 1,586,515.50