Finding the Third Proportional to 90,793 and 185,275

Step by Step Solution

1. Step 1: Write the proportion equation
   90,793 : 185,275 = 185,275 : x
2. Step 2: Convert to fraction form
   90,793/185,275 = 185,275/x
3. Step 3: Cross multiply
   90,793x = 185,275 × 185,275
4. Step 4: Simplify right side
   90,793x = 34,326,825,625
5. Step 5: Solve for x
   x = 34,326,825,625/90,793
6. Step 6: Final answer
   x = 378,077.89