Finding the Third Proportional to 148,442.25 and 311,463

Step by Step Solution

1. Step 1: Write the proportion equation
   148,442.25 : 311,463 = 311,463 : x
2. Step 2: Convert to fraction form
   148,442.25/311,463 = 311,463/x
3. Step 3: Cross multiply
   148,442.25x = 311,463 × 311,463
4. Step 4: Simplify right side
   148,442.25x = 97,009,200,369
5. Step 5: Solve for x
   x = 97,009,200,369/148,442.25
6. Step 6: Final answer
   x = 653,514.75