Finding the Third Proportional to 120,064 and 185,832

Step by Step Solution

1. Step 1: Write the proportion equation
   120,064 : 185,832 = 185,832 : x
2. Step 2: Convert to fraction form
   120,064/185,832 = 185,832/x
3. Step 3: Cross multiply
   120,064x = 185,832 × 185,832
4. Step 4: Simplify right side
   120,064x = 34,533,532,224
5. Step 5: Solve for x
   x = 34,533,532,224/120,064
6. Step 6: Final answer
   x = 287,626.03