Finding the Third Proportional to 90,870 and 186,273

Step by Step Solution

1. Step 1: Write the proportion equation
   90,870 : 186,273 = 186,273 : x
2. Step 2: Convert to fraction form
   90,870/186,273 = 186,273/x
3. Step 3: Cross multiply
   90,870x = 186,273 × 186,273
4. Step 4: Simplify right side
   90,870x = 34,697,630,529
5. Step 5: Solve for x
   x = 34,697,630,529/90,870
6. Step 6: Final answer
   x = 381,838.13