Finding the Third Proportional to 314,665.50 and 471,890.25

Step by Step Solution

1. Step 1: Write the proportion equation
   314,665.50 : 471,890.25 = 471,890.25 : x
2. Step 2: Convert to fraction form
   314,665.50/471,890.25 = 471,890.25/x
3. Step 3: Cross multiply
   314,665.50x = 471,890.25 × 471,890.25
4. Step 4: Simplify right side
   314,665.50x = 222,680,408,045.06
5. Step 5: Solve for x
   x = 222,680,408,045.06/314,665.50
6. Step 6: Final answer
   x = 707,673.41