Finding the Third Proportional to 156,688 and 329,504

Step by Step Solution

1. Step 1: Write the proportion equation
   156,688 : 329,504 = 329,504 : x
2. Step 2: Convert to fraction form
   156,688/329,504 = 329,504/x
3. Step 3: Cross multiply
   156,688x = 329,504 × 329,504
4. Step 4: Simplify right side
   156,688x = 108,572,886,016
5. Step 5: Solve for x
   x = 108,572,886,016/156,688
6. Step 6: Final answer
   x = 692,924.07