Finding the Third Proportional to 72,774 and 158,364

Step by Step Solution

1. Step 1: Write the proportion equation
   72,774 : 158,364 = 158,364 : x
2. Step 2: Convert to fraction form
   72,774/158,364 = 158,364/x
3. Step 3: Cross multiply
   72,774x = 158,364 × 158,364
4. Step 4: Simplify right side
   72,774x = 25,079,156,496
5. Step 5: Solve for x
   x = 25,079,156,496/72,774
6. Step 6: Final answer
   x = 344,616.99