Finding the Third Proportional to 148,758 and 321,688

Step by Step Solution

1. Step 1: Write the proportion equation
   148,758 : 321,688 = 321,688 : x
2. Step 2: Convert to fraction form
   148,758/321,688 = 321,688/x
3. Step 3: Cross multiply
   148,758x = 321,688 × 321,688
4. Step 4: Simplify right side
   148,758x = 103,483,169,344
5. Step 5: Solve for x
   x = 103,483,169,344/148,758
6. Step 6: Final answer
   x = 695,647.76