Finding the Third Proportional to 147,548 and 320,116

Step by Step Solution

1. Step 1: Write the proportion equation
   147,548 : 320,116 = 320,116 : x
2. Step 2: Convert to fraction form
   147,548/320,116 = 320,116/x
3. Step 3: Cross multiply
   147,548x = 320,116 × 320,116
4. Step 4: Simplify right side
   147,548x = 102,474,253,456
5. Step 5: Solve for x
   x = 102,474,253,456/147,548
6. Step 6: Final answer
   x = 694,514.69