Finding the Third Proportional to 311,826 and 470,560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,826 : 470,560.50 = 470,560.50 : x
2. Step 2: Convert to fraction form
   311,826/470,560.50 = 470,560.50/x
3. Step 3: Cross multiply
   311,826x = 470,560.50 × 470,560.50
4. Step 4: Simplify right side
   311,826x = 221,427,184,160.25
5. Step 5: Solve for x
   x = 221,427,184,160.25/311,826
6. Step 6: Final answer
   x = 710,098.53