Finding the Third Proportional to 65,991 and 139,407

Step by Step Solution

1. Step 1: Write the proportion equation
   65,991 : 139,407 = 139,407 : x
2. Step 2: Convert to fraction form
   65,991/139,407 = 139,407/x
3. Step 3: Cross multiply
   65,991x = 139,407 × 139,407
4. Step 4: Simplify right side
   65,991x = 19,434,311,649
5. Step 5: Solve for x
   x = 19,434,311,649/65,991
6. Step 6: Final answer
   x = 294,499.43