Finding the Third Proportional to 312,141 and 470,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   312,141 : 470,968.50 = 470,968.50 : x
2. Step 2: Convert to fraction form
   312,141/470,968.50 = 470,968.50/x
3. Step 3: Cross multiply
   312,141x = 470,968.50 × 470,968.50
4. Step 4: Simplify right side
   312,141x = 221,811,327,992.25
5. Step 5: Solve for x
   x = 221,811,327,992.25/312,141
6. Step 6: Final answer
   x = 710,612.60