Finding the Third Proportional to 72,368 and 152,512

Step by Step Solution

1. Step 1: Write the proportion equation
   72,368 : 152,512 = 152,512 : x
2. Step 2: Convert to fraction form
   72,368/152,512 = 152,512/x
3. Step 3: Cross multiply
   72,368x = 152,512 × 152,512
4. Step 4: Simplify right side
   72,368x = 23,259,910,144
5. Step 5: Solve for x
   x = 23,259,910,144/72,368
6. Step 6: Final answer
   x = 321,411.54