Finding the Third Proportional to 165,256.50 and 356,751

Step by Step Solution

1. Step 1: Write the proportion equation
   165,256.50 : 356,751 = 356,751 : x
2. Step 2: Convert to fraction form
   165,256.50/356,751 = 356,751/x
3. Step 3: Cross multiply
   165,256.50x = 356,751 × 356,751
4. Step 4: Simplify right side
   165,256.50x = 127,271,276,001
5. Step 5: Solve for x
   x = 127,271,276,001/165,256.50
6. Step 6: Final answer
   x = 770,143.84