Finding the Third Proportional to 72,654 and 159,978

Step by Step Solution

1. Step 1: Write the proportion equation
   72,654 : 159,978 = 159,978 : x
2. Step 2: Convert to fraction form
   72,654/159,978 = 159,978/x
3. Step 3: Cross multiply
   72,654x = 159,978 × 159,978
4. Step 4: Simplify right side
   72,654x = 25,592,960,484
5. Step 5: Solve for x
   x = 25,592,960,484/72,654
6. Step 6: Final answer
   x = 352,258.11