Finding the Third Proportional to 72,984 and 157,222

Step by Step Solution

1. Step 1: Write the proportion equation
   72,984 : 157,222 = 157,222 : x
2. Step 2: Convert to fraction form
   72,984/157,222 = 157,222/x
3. Step 3: Cross multiply
   72,984x = 157,222 × 157,222
4. Step 4: Simplify right side
   72,984x = 24,718,757,284
5. Step 5: Solve for x
   x = 24,718,757,284/72,984
6. Step 6: Final answer
   x = 338,687.35