Finding the Third Proportional to 72,758 and 157,180

Step by Step Solution

1. Step 1: Write the proportion equation
   72,758 : 157,180 = 157,180 : x
2. Step 2: Convert to fraction form
   72,758/157,180 = 157,180/x
3. Step 3: Cross multiply
   72,758x = 157,180 × 157,180
4. Step 4: Simplify right side
   72,758x = 24,705,552,400
5. Step 5: Solve for x
   x = 24,705,552,400/72,758
6. Step 6: Final answer
   x = 339,557.88