Finding the Third Proportional to 75,564 and 158,382.56

Step by Step Solution

1. Step 1: Write the proportion equation
   75,564 : 158,382.56 = 158,382.56 : x
2. Step 2: Convert to fraction form
   75,564/158,382.56 = 158,382.56/x
3. Step 3: Cross multiply
   75,564x = 158,382.56 × 158,382.56
4. Step 4: Simplify right side
   75,564x = 25,085,036,104.07
5. Step 5: Solve for x
   x = 25,085,036,104.07/75,564
6. Step 6: Final answer
   x = 331,970.73