Finding the Third Proportional to 148,816 and 320,960

Step by Step Solution

1. Step 1: Write the proportion equation
   148,816 : 320,960 = 320,960 : x
2. Step 2: Convert to fraction form
   148,816/320,960 = 320,960/x
3. Step 3: Cross multiply
   148,816x = 320,960 × 320,960
4. Step 4: Simplify right side
   148,816x = 103,015,321,600
5. Step 5: Solve for x
   x = 103,015,321,600/148,816
6. Step 6: Final answer
   x = 692,232.84