Finding the Third Proportional to 72,458 and 152,794

Step by Step Solution

1. Step 1: Write the proportion equation
   72,458 : 152,794 = 152,794 : x
2. Step 2: Convert to fraction form
   72,458/152,794 = 152,794/x
3. Step 3: Cross multiply
   72,458x = 152,794 × 152,794
4. Step 4: Simplify right side
   72,458x = 23,346,006,436
5. Step 5: Solve for x
   x = 23,346,006,436/72,458
6. Step 6: Final answer
   x = 322,200.54