Finding the Third Proportional to 314,668.50 and 471,894

Step by Step Solution

1. Step 1: Write the proportion equation
   314,668.50 : 471,894 = 471,894 : x
2. Step 2: Convert to fraction form
   314,668.50/471,894 = 471,894/x
3. Step 3: Cross multiply
   314,668.50x = 471,894 × 471,894
4. Step 4: Simplify right side
   314,668.50x = 222,683,947,236
5. Step 5: Solve for x
   x = 222,683,947,236/314,668.50
6. Step 6: Final answer
   x = 707,677.91