Finding the Third Proportional to 72,617 and 160,462

Step by Step Solution

1. Step 1: Write the proportion equation
   72,617 : 160,462 = 160,462 : x
2. Step 2: Convert to fraction form
   72,617/160,462 = 160,462/x
3. Step 3: Cross multiply
   72,617x = 160,462 × 160,462
4. Step 4: Simplify right side
   72,617x = 25,748,053,444
5. Step 5: Solve for x
   x = 25,748,053,444/72,617
6. Step 6: Final answer
   x = 354,573.36