Finding the Third Proportional to 100,382 and 215,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,382 : 215,363.50 = 215,363.50 : x
2. Step 2: Convert to fraction form
   100,382/215,363.50 = 215,363.50/x
3. Step 3: Cross multiply
   100,382x = 215,363.50 × 215,363.50
4. Step 4: Simplify right side
   100,382x = 46,381,437,132.25
5. Step 5: Solve for x
   x = 46,381,437,132.25/100,382
6. Step 6: Final answer
   x = 462,049.34