Finding the Third Proportional to 75,705.50 and 159,258

Step by Step Solution

1. Step 1: Write the proportion equation
   75,705.50 : 159,258 = 159,258 : x
2. Step 2: Convert to fraction form
   75,705.50/159,258 = 159,258/x
3. Step 3: Cross multiply
   75,705.50x = 159,258 × 159,258
4. Step 4: Simplify right side
   75,705.50x = 25,363,110,564
5. Step 5: Solve for x
   x = 25,363,110,564/75,705.50
6. Step 6: Final answer
   x = 335,023.35