Finding the Third Proportional to 72,772 and 153,320

Step by Step Solution

1. Step 1: Write the proportion equation
   72,772 : 153,320 = 153,320 : x
2. Step 2: Convert to fraction form
   72,772/153,320 = 153,320/x
3. Step 3: Cross multiply
   72,772x = 153,320 × 153,320
4. Step 4: Simplify right side
   72,772x = 23,507,022,400
5. Step 5: Solve for x
   x = 23,507,022,400/72,772
6. Step 6: Final answer
   x = 323,022.90