Finding the Third Proportional to 312,102 and 470,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   312,102 : 470,944.50 = 470,944.50 : x
2. Step 2: Convert to fraction form
   312,102/470,944.50 = 470,944.50/x
3. Step 3: Cross multiply
   312,102x = 470,944.50 × 470,944.50
4. Step 4: Simplify right side
   312,102x = 221,788,722,080.25
5. Step 5: Solve for x
   x = 221,788,722,080.25/312,102
6. Step 6: Final answer
   x = 710,628.97