Finding the Third Proportional to 311,458.50 and 477,468

Step by Step Solution

1. Step 1: Write the proportion equation
   311,458.50 : 477,468 = 477,468 : x
2. Step 2: Convert to fraction form
   311,458.50/477,468 = 477,468/x
3. Step 3: Cross multiply
   311,458.50x = 477,468 × 477,468
4. Step 4: Simplify right side
   311,458.50x = 227,975,691,024
5. Step 5: Solve for x
   x = 227,975,691,024/311,458.50
6. Step 6: Final answer
   x = 731,961.69