Finding the Third Proportional to 72,462 and 152,784

Step by Step Solution

1. Step 1: Write the proportion equation
   72,462 : 152,784 = 152,784 : x
2. Step 2: Convert to fraction form
   72,462/152,784 = 152,784/x
3. Step 3: Cross multiply
   72,462x = 152,784 × 152,784
4. Step 4: Simplify right side
   72,462x = 23,342,950,656
5. Step 5: Solve for x
   x = 23,342,950,656/72,462
6. Step 6: Final answer
   x = 322,140.58