Finding the Third Proportional to 314,617.50 and 471,960

Step by Step Solution

1. Step 1: Write the proportion equation
   314,617.50 : 471,960 = 471,960 : x
2. Step 2: Convert to fraction form
   314,617.50/471,960 = 471,960/x
3. Step 3: Cross multiply
   314,617.50x = 471,960 × 471,960
4. Step 4: Simplify right side
   314,617.50x = 222,746,241,600
5. Step 5: Solve for x
   x = 222,746,241,600/314,617.50
6. Step 6: Final answer
   x = 707,990.63