Finding the Third Proportional to 326,196 and 504,138

Step by Step Solution

1. Step 1: Write the proportion equation
   326,196 : 504,138 = 504,138 : x
2. Step 2: Convert to fraction form
   326,196/504,138 = 504,138/x
3. Step 3: Cross multiply
   326,196x = 504,138 × 504,138
4. Step 4: Simplify right side
   326,196x = 254,155,123,044
5. Step 5: Solve for x
   x = 254,155,123,044/326,196
6. Step 6: Final answer
   x = 779,148.50