Finding the Third Proportional to 120,600 and 186,552

Step by Step Solution

1. Step 1: Write the proportion equation
   120,600 : 186,552 = 186,552 : x
2. Step 2: Convert to fraction form
   120,600/186,552 = 186,552/x
3. Step 3: Cross multiply
   120,600x = 186,552 × 186,552
4. Step 4: Simplify right side
   120,600x = 34,801,648,704
5. Step 5: Solve for x
   x = 34,801,648,704/120,600
6. Step 6: Final answer
   x = 288,570.88