Finding the Third Proportional to 46,503 and 100,830

Step by Step Solution

1. Step 1: Write the proportion equation
   46,503 : 100,830 = 100,830 : x
2. Step 2: Convert to fraction form
   46,503/100,830 = 100,830/x
3. Step 3: Cross multiply
   46,503x = 100,830 × 100,830
4. Step 4: Simplify right side
   46,503x = 10,166,688,900
5. Step 5: Solve for x
   x = 10,166,688,900/46,503
6. Step 6: Final answer
   x = 218,624.37