Finding the Third Proportional to 296,646 and 471,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,646 : 471,643.50 = 471,643.50 : x
2. Step 2: Convert to fraction form
   296,646/471,643.50 = 471,643.50/x
3. Step 3: Cross multiply
   296,646x = 471,643.50 × 471,643.50
4. Step 4: Simplify right side
   296,646x = 222,447,591,092.25
5. Step 5: Solve for x
   x = 222,447,591,092.25/296,646
6. Step 6: Final answer
   x = 749,875.58