Finding the Third Proportional to 65,862 and 137,484

Step by Step Solution

1. Step 1: Write the proportion equation
   65,862 : 137,484 = 137,484 : x
2. Step 2: Convert to fraction form
   65,862/137,484 = 137,484/x
3. Step 3: Cross multiply
   65,862x = 137,484 × 137,484
4. Step 4: Simplify right side
   65,862x = 18,901,850,256
5. Step 5: Solve for x
   x = 18,901,850,256/65,862
6. Step 6: Final answer
   x = 286,991.74