Finding the Third Proportional to 164,688 and 354,960

Step by Step Solution

1. Step 1: Write the proportion equation
   164,688 : 354,960 = 354,960 : x
2. Step 2: Convert to fraction form
   164,688/354,960 = 354,960/x
3. Step 3: Cross multiply
   164,688x = 354,960 × 354,960
4. Step 4: Simplify right side
   164,688x = 125,996,601,600
5. Step 5: Solve for x
   x = 125,996,601,600/164,688
6. Step 6: Final answer
   x = 765,062.43