Finding the Third Proportional to 65,856 and 145,948

Step by Step Solution

1. Step 1: Write the proportion equation
   65,856 : 145,948 = 145,948 : x
2. Step 2: Convert to fraction form
   65,856/145,948 = 145,948/x
3. Step 3: Cross multiply
   65,856x = 145,948 × 145,948
4. Step 4: Simplify right side
   65,856x = 21,300,818,704
5. Step 5: Solve for x
   x = 21,300,818,704/65,856
6. Step 6: Final answer
   x = 323,445.38