Finding the Third Proportional to 72,461 and 153,643

Step by Step Solution

1. Step 1: Write the proportion equation
   72,461 : 153,643 = 153,643 : x
2. Step 2: Convert to fraction form
   72,461/153,643 = 153,643/x
3. Step 3: Cross multiply
   72,461x = 153,643 × 153,643
4. Step 4: Simplify right side
   72,461x = 23,606,171,449
5. Step 5: Solve for x
   x = 23,606,171,449/72,461
6. Step 6: Final answer
   x = 325,777.61