Finding the Third Proportional to 268,983 and 402,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,983 : 402,907.50 = 402,907.50 : x
2. Step 2: Convert to fraction form
   268,983/402,907.50 = 402,907.50/x
3. Step 3: Cross multiply
   268,983x = 402,907.50 × 402,907.50
4. Step 4: Simplify right side
   268,983x = 162,334,453,556.25
5. Step 5: Solve for x
   x = 162,334,453,556.25/268,983
6. Step 6: Final answer
   x = 603,511.95