Finding the Third Proportional to 72,422 and 153,538

Step by Step Solution

1. Step 1: Write the proportion equation
   72,422 : 153,538 = 153,538 : x
2. Step 2: Convert to fraction form
   72,422/153,538 = 153,538/x
3. Step 3: Cross multiply
   72,422x = 153,538 × 153,538
4. Step 4: Simplify right side
   72,422x = 23,573,917,444
5. Step 5: Solve for x
   x = 23,573,917,444/72,422
6. Step 6: Final answer
   x = 325,507.68