Finding the Third Proportional to 100,550 and 149,456

Step by Step Solution

1. Step 1: Write the proportion equation
   100,550 : 149,456 = 149,456 : x
2. Step 2: Convert to fraction form
   100,550/149,456 = 149,456/x
3. Step 3: Cross multiply
   100,550x = 149,456 × 149,456
4. Step 4: Simplify right side
   100,550x = 22,337,095,936
5. Step 5: Solve for x
   x = 22,337,095,936/100,550
6. Step 6: Final answer
   x = 222,149.14