Finding the Third Proportional to 131,164 and 184,442

Step by Step Solution

1. Step 1: Write the proportion equation
   131,164 : 184,442 = 184,442 : x
2. Step 2: Convert to fraction form
   131,164/184,442 = 184,442/x
3. Step 3: Cross multiply
   131,164x = 184,442 × 184,442
4. Step 4: Simplify right side
   131,164x = 34,018,851,364
5. Step 5: Solve for x
   x = 34,018,851,364/131,164
6. Step 6: Final answer
   x = 259,361.19