Finding the Third Proportional to 120,199.50 and 186,858

Step by Step Solution

1. Step 1: Write the proportion equation
   120,199.50 : 186,858 = 186,858 : x
2. Step 2: Convert to fraction form
   120,199.50/186,858 = 186,858/x
3. Step 3: Cross multiply
   120,199.50x = 186,858 × 186,858
4. Step 4: Simplify right side
   120,199.50x = 34,915,912,164
5. Step 5: Solve for x
   x = 34,915,912,164/120,199.50
6. Step 6: Final answer
   x = 290,483.01