Finding the Third Proportional to 120,366 and 186,280

Step by Step Solution

1. Step 1: Write the proportion equation
   120,366 : 186,280 = 186,280 : x
2. Step 2: Convert to fraction form
   120,366/186,280 = 186,280/x
3. Step 3: Cross multiply
   120,366x = 186,280 × 186,280
4. Step 4: Simplify right side
   120,366x = 34,700,238,400
5. Step 5: Solve for x
   x = 34,700,238,400/120,366
6. Step 6: Final answer
   x = 288,289.37