Finding the Third Proportional to 333,997 and 727,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,997 : 727,935.50 = 727,935.50 : x
2. Step 2: Convert to fraction form
   333,997/727,935.50 = 727,935.50/x
3. Step 3: Cross multiply
   333,997x = 727,935.50 × 727,935.50
4. Step 4: Simplify right side
   333,997x = 529,890,092,160.25
5. Step 5: Solve for x
   x = 529,890,092,160.25/333,997
6. Step 6: Final answer
   x = 1,586,511.53