Finding the Third Proportional to 72,564 and 153,942

Step by Step Solution

1. Step 1: Write the proportion equation
   72,564 : 153,942 = 153,942 : x
2. Step 2: Convert to fraction form
   72,564/153,942 = 153,942/x
3. Step 3: Cross multiply
   72,564x = 153,942 × 153,942
4. Step 4: Simplify right side
   72,564x = 23,698,139,364
5. Step 5: Solve for x
   x = 23,698,139,364/72,564
6. Step 6: Final answer
   x = 326,582.59