Finding the Third Proportional to 100,583 and 217,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,583 : 217,499.50 = 217,499.50 : x
2. Step 2: Convert to fraction form
   100,583/217,499.50 = 217,499.50/x
3. Step 3: Cross multiply
   100,583x = 217,499.50 × 217,499.50
4. Step 4: Simplify right side
   100,583x = 47,306,032,500.25
5. Step 5: Solve for x
   x = 47,306,032,500.25/100,583
6. Step 6: Final answer
   x = 470,318.37