Finding the Third Proportional to 140,688 and 325,414

Step by Step Solution

1. Step 1: Write the proportion equation
   140,688 : 325,414 = 325,414 : x
2. Step 2: Convert to fraction form
   140,688/325,414 = 325,414/x
3. Step 3: Cross multiply
   140,688x = 325,414 × 325,414
4. Step 4: Simplify right side
   140,688x = 105,894,271,396
5. Step 5: Solve for x
   x = 105,894,271,396/140,688
6. Step 6: Final answer
   x = 752,688.73