Finding the Third Proportional to 369,009 and 553,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   369,009 : 553,513.50 = 553,513.50 : x
2. Step 2: Convert to fraction form
   369,009/553,513.50 = 553,513.50/x
3. Step 3: Cross multiply
   369,009x = 553,513.50 × 553,513.50
4. Step 4: Simplify right side
   369,009x = 306,377,194,682.25
5. Step 5: Solve for x
   x = 306,377,194,682.25/369,009
6. Step 6: Final answer
   x = 830,270.25