Finding the Third Proportional to 65,820 and 139,634

Step by Step Solution

1. Step 1: Write the proportion equation
   65,820 : 139,634 = 139,634 : x
2. Step 2: Convert to fraction form
   65,820/139,634 = 139,634/x
3. Step 3: Cross multiply
   65,820x = 139,634 × 139,634
4. Step 4: Simplify right side
   65,820x = 19,497,653,956
5. Step 5: Solve for x
   x = 19,497,653,956/65,820
6. Step 6: Final answer
   x = 296,226.89