Finding the Third Proportional to 155,778 and 240,564

Step by Step Solution

1. Step 1: Write the proportion equation
   155,778 : 240,564 = 240,564 : x
2. Step 2: Convert to fraction form
   155,778/240,564 = 240,564/x
3. Step 3: Cross multiply
   155,778x = 240,564 × 240,564
4. Step 4: Simplify right side
   155,778x = 57,871,038,096
5. Step 5: Solve for x
   x = 57,871,038,096/155,778
6. Step 6: Final answer
   x = 371,496.86