Finding the Third Proportional to 311,979 and 470,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,979 : 470,761.50 = 470,761.50 : x
2. Step 2: Convert to fraction form
   311,979/470,761.50 = 470,761.50/x
3. Step 3: Cross multiply
   311,979x = 470,761.50 × 470,761.50
4. Step 4: Simplify right side
   311,979x = 221,616,389,882.25
5. Step 5: Solve for x
   x = 221,616,389,882.25/311,979
6. Step 6: Final answer
   x = 710,356.75