Finding the Third Proportional to 72,322 and 157,084

Step by Step Solution

1. Step 1: Write the proportion equation
   72,322 : 157,084 = 157,084 : x
2. Step 2: Convert to fraction form
   72,322/157,084 = 157,084/x
3. Step 3: Cross multiply
   72,322x = 157,084 × 157,084
4. Step 4: Simplify right side
   72,322x = 24,675,383,056
5. Step 5: Solve for x
   x = 24,675,383,056/72,322
6. Step 6: Final answer
   x = 341,187.79