Finding the Third Proportional to 202,524 and 468,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,524 : 468,856.50 = 468,856.50 : x
2. Step 2: Convert to fraction form
   202,524/468,856.50 = 468,856.50/x
3. Step 3: Cross multiply
   202,524x = 468,856.50 × 468,856.50
4. Step 4: Simplify right side
   202,524x = 219,826,417,592.25
5. Step 5: Solve for x
   x = 219,826,417,592.25/202,524
6. Step 6: Final answer
   x = 1,085,433.91