Finding the Third Proportional to 72,496 and 147,041

Step by Step Solution

1. Step 1: Write the proportion equation
   72,496 : 147,041 = 147,041 : x
2. Step 2: Convert to fraction form
   72,496/147,041 = 147,041/x
3. Step 3: Cross multiply
   72,496x = 147,041 × 147,041
4. Step 4: Simplify right side
   72,496x = 21,621,055,681
5. Step 5: Solve for x
   x = 21,621,055,681/72,496
6. Step 6: Final answer
   x = 298,237.91