Finding the Third Proportional to 312,045 and 470,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   312,045 : 470,269.50 = 470,269.50 : x
2. Step 2: Convert to fraction form
   312,045/470,269.50 = 470,269.50/x
3. Step 3: Cross multiply
   312,045x = 470,269.50 × 470,269.50
4. Step 4: Simplify right side
   312,045x = 221,153,402,630.25
5. Step 5: Solve for x
   x = 221,153,402,630.25/312,045
6. Step 6: Final answer
   x = 708,722.79