Finding the Third Proportional to 311,980.50 and 470,178

Step by Step Solution

1. Step 1: Write the proportion equation
   311,980.50 : 470,178 = 470,178 : x
2. Step 2: Convert to fraction form
   311,980.50/470,178 = 470,178/x
3. Step 3: Cross multiply
   311,980.50x = 470,178 × 470,178
4. Step 4: Simplify right side
   311,980.50x = 221,067,351,684
5. Step 5: Solve for x
   x = 221,067,351,684/311,980.50
6. Step 6: Final answer
   x = 708,593.49