Finding the Third Proportional to 328,947 and 492,123

Step by Step Solution

1. Step 1: Write the proportion equation
   328,947 : 492,123 = 492,123 : x
2. Step 2: Convert to fraction form
   328,947/492,123 = 492,123/x
3. Step 3: Cross multiply
   328,947x = 492,123 × 492,123
4. Step 4: Simplify right side
   328,947x = 242,185,047,129
5. Step 5: Solve for x
   x = 242,185,047,129/328,947
6. Step 6: Final answer
   x = 736,243.37