Finding the Third Proportional to 120,184.50 and 186,832

Step by Step Solution

1. Step 1: Write the proportion equation
   120,184.50 : 186,832 = 186,832 : x
2. Step 2: Convert to fraction form
   120,184.50/186,832 = 186,832/x
3. Step 3: Cross multiply
   120,184.50x = 186,832 × 186,832
4. Step 4: Simplify right side
   120,184.50x = 34,906,196,224
5. Step 5: Solve for x
   x = 34,906,196,224/120,184.50
6. Step 6: Final answer
   x = 290,438.42