Finding the Third Proportional to 120,733.50 and 262,224

Step by Step Solution

1. Step 1: Write the proportion equation
   120,733.50 : 262,224 = 262,224 : x
2. Step 2: Convert to fraction form
   120,733.50/262,224 = 262,224/x
3. Step 3: Cross multiply
   120,733.50x = 262,224 × 262,224
4. Step 4: Simplify right side
   120,733.50x = 68,761,426,176
5. Step 5: Solve for x
   x = 68,761,426,176/120,733.50
6. Step 6: Final answer
   x = 569,530.63