Finding the Third Proportional to 46,468 and 101,830

Step by Step Solution

1. Step 1: Write the proportion equation
   46,468 : 101,830 = 101,830 : x
2. Step 2: Convert to fraction form
   46,468/101,830 = 101,830/x
3. Step 3: Cross multiply
   46,468x = 101,830 × 101,830
4. Step 4: Simplify right side
   46,468x = 10,369,348,900
5. Step 5: Solve for x
   x = 10,369,348,900/46,468
6. Step 6: Final answer
   x = 223,150.32