Finding the Third Proportional to 234,009 and 384,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   234,009 : 384,385.50 = 384,385.50 : x
2. Step 2: Convert to fraction form
   234,009/384,385.50 = 384,385.50/x
3. Step 3: Cross multiply
   234,009x = 384,385.50 × 384,385.50
4. Step 4: Simplify right side
   234,009x = 147,752,212,610.25
5. Step 5: Solve for x
   x = 147,752,212,610.25/234,009
6. Step 6: Final answer
   x = 631,395.43