Finding the Third Proportional to 65,770 and 144,948

Step by Step Solution

1. Step 1: Write the proportion equation
   65,770 : 144,948 = 144,948 : x
2. Step 2: Convert to fraction form
   65,770/144,948 = 144,948/x
3. Step 3: Cross multiply
   65,770x = 144,948 × 144,948
4. Step 4: Simplify right side
   65,770x = 21,009,922,704
5. Step 5: Solve for x
   x = 21,009,922,704/65,770
6. Step 6: Final answer
   x = 319,445.38