Finding the Third Proportional to 72,413 and 151,441

Step by Step Solution

1. Step 1: Write the proportion equation
   72,413 : 151,441 = 151,441 : x
2. Step 2: Convert to fraction form
   72,413/151,441 = 151,441/x
3. Step 3: Cross multiply
   72,413x = 151,441 × 151,441
4. Step 4: Simplify right side
   72,413x = 22,934,376,481
5. Step 5: Solve for x
   x = 22,934,376,481/72,413
6. Step 6: Final answer
   x = 316,716.29