Finding the Third Proportional to 311,909.50 and 470,083

Step by Step Solution

1. Step 1: Write the proportion equation
   311,909.50 : 470,083 = 470,083 : x
2. Step 2: Convert to fraction form
   311,909.50/470,083 = 470,083/x
3. Step 3: Cross multiply
   311,909.50x = 470,083 × 470,083
4. Step 4: Simplify right side
   311,909.50x = 220,978,026,889
5. Step 5: Solve for x
   x = 220,978,026,889/311,909.50
6. Step 6: Final answer
   x = 708,468.41