Finding the Third Proportional to 72,384 and 149,424

Step by Step Solution

1. Step 1: Write the proportion equation
   72,384 : 149,424 = 149,424 : x
2. Step 2: Convert to fraction form
   72,384/149,424 = 149,424/x
3. Step 3: Cross multiply
   72,384x = 149,424 × 149,424
4. Step 4: Simplify right side
   72,384x = 22,327,531,776
5. Step 5: Solve for x
   x = 22,327,531,776/72,384
6. Step 6: Final answer
   x = 308,459.49