Finding the Third Proportional to 90,950 and 186,272

Step by Step Solution

1. Step 1: Write the proportion equation
   90,950 : 186,272 = 186,272 : x
2. Step 2: Convert to fraction form
   90,950/186,272 = 186,272/x
3. Step 3: Cross multiply
   90,950x = 186,272 × 186,272
4. Step 4: Simplify right side
   90,950x = 34,697,257,984
5. Step 5: Solve for x
   x = 34,697,257,984/90,950
6. Step 6: Final answer
   x = 381,498.16