Finding the Third Proportional to 164,749.50 and 359,712

Step by Step Solution

1. Step 1: Write the proportion equation
   164,749.50 : 359,712 = 359,712 : x
2. Step 2: Convert to fraction form
   164,749.50/359,712 = 359,712/x
3. Step 3: Cross multiply
   164,749.50x = 359,712 × 359,712
4. Step 4: Simplify right side
   164,749.50x = 129,392,722,944
5. Step 5: Solve for x
   x = 129,392,722,944/164,749.50
6. Step 6: Final answer
   x = 785,390.69