Finding the Third Proportional to 72,780 and 159,084

Step by Step Solution

1. Step 1: Write the proportion equation
   72,780 : 159,084 = 159,084 : x
2. Step 2: Convert to fraction form
   72,780/159,084 = 159,084/x
3. Step 3: Cross multiply
   72,780x = 159,084 × 159,084
4. Step 4: Simplify right side
   72,780x = 25,307,719,056
5. Step 5: Solve for x
   x = 25,307,719,056/72,780
6. Step 6: Final answer
   x = 347,729.03