Finding the Third Proportional to 72,296 and 152,368

Step by Step Solution

1. Step 1: Write the proportion equation
   72,296 : 152,368 = 152,368 : x
2. Step 2: Convert to fraction form
   72,296/152,368 = 152,368/x
3. Step 3: Cross multiply
   72,296x = 152,368 × 152,368
4. Step 4: Simplify right side
   72,296x = 23,216,007,424
5. Step 5: Solve for x
   x = 23,216,007,424/72,296
6. Step 6: Final answer
   x = 321,124.37