Finding the Third Proportional to 90,869 and 185,431

Step by Step Solution

1. Step 1: Write the proportion equation
   90,869 : 185,431 = 185,431 : x
2. Step 2: Convert to fraction form
   90,869/185,431 = 185,431/x
3. Step 3: Cross multiply
   90,869x = 185,431 × 185,431
4. Step 4: Simplify right side
   90,869x = 34,384,655,761
5. Step 5: Solve for x
   x = 34,384,655,761/90,869
6. Step 6: Final answer
   x = 378,398.09