Finding the Third Proportional to 306,789 and 470,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   306,789 : 470,935.50 = 470,935.50 : x
2. Step 2: Convert to fraction form
   306,789/470,935.50 = 470,935.50/x
3. Step 3: Cross multiply
   306,789x = 470,935.50 × 470,935.50
4. Step 4: Simplify right side
   306,789x = 221,780,245,160.25
5. Step 5: Solve for x
   x = 221,780,245,160.25/306,789
6. Step 6: Final answer
   x = 722,908.07