Finding the Third Proportional to 335,184 and 468,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   335,184 : 468,856.50 = 468,856.50 : x
2. Step 2: Convert to fraction form
   335,184/468,856.50 = 468,856.50/x
3. Step 3: Cross multiply
   335,184x = 468,856.50 × 468,856.50
4. Step 4: Simplify right side
   335,184x = 219,826,417,592.25
5. Step 5: Solve for x
   x = 219,826,417,592.25/335,184
6. Step 6: Final answer
   x = 655,838.04