Finding the Third Proportional to 309,951 and 471,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,951 : 471,100.50 = 471,100.50 : x
2. Step 2: Convert to fraction form
   309,951/471,100.50 = 471,100.50/x
3. Step 3: Cross multiply
   309,951x = 471,100.50 × 471,100.50
4. Step 4: Simplify right side
   309,951x = 221,935,681,100.25
5. Step 5: Solve for x
   x = 221,935,681,100.25/309,951
6. Step 6: Final answer
   x = 716,034.73