Finding the Third Proportional to 72,261 and 154,566

Step by Step Solution

1. Step 1: Write the proportion equation
   72,261 : 154,566 = 154,566 : x
2. Step 2: Convert to fraction form
   72,261/154,566 = 154,566/x
3. Step 3: Cross multiply
   72,261x = 154,566 × 154,566
4. Step 4: Simplify right side
   72,261x = 23,890,648,356
5. Step 5: Solve for x
   x = 23,890,648,356/72,261
6. Step 6: Final answer
   x = 330,616.08