Finding the Third Proportional to 148,536 and 318,395.25

Step by Step Solution

1. Step 1: Write the proportion equation
   148,536 : 318,395.25 = 318,395.25 : x
2. Step 2: Convert to fraction form
   148,536/318,395.25 = 318,395.25/x
3. Step 3: Cross multiply
   148,536x = 318,395.25 × 318,395.25
4. Step 4: Simplify right side
   148,536x = 101,375,535,222.56
5. Step 5: Solve for x
   x = 101,375,535,222.56/148,536
6. Step 6: Final answer
   x = 682,498.08