Finding the Third Proportional to 145,578 and 308,654

Step by Step Solution

1. Step 1: Write the proportion equation
   145,578 : 308,654 = 308,654 : x
2. Step 2: Convert to fraction form
   145,578/308,654 = 308,654/x
3. Step 3: Cross multiply
   145,578x = 308,654 × 308,654
4. Step 4: Simplify right side
   145,578x = 95,267,291,716
5. Step 5: Solve for x
   x = 95,267,291,716/145,578
6. Step 6: Final answer
   x = 654,407.20