Finding the Third Proportional to 312,099 and 470,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   312,099 : 470,956.50 = 470,956.50 : x
2. Step 2: Convert to fraction form
   312,099/470,956.50 = 470,956.50/x
3. Step 3: Cross multiply
   312,099x = 470,956.50 × 470,956.50
4. Step 4: Simplify right side
   312,099x = 221,800,024,892.25
5. Step 5: Solve for x
   x = 221,800,024,892.25/312,099
6. Step 6: Final answer
   x = 710,672.01