Finding the Third Proportional to 146,050 and 161,410

Step by Step Solution

1. Step 1: Write the proportion equation
   146,050 : 161,410 = 161,410 : x
2. Step 2: Convert to fraction form
   146,050/161,410 = 161,410/x
3. Step 3: Cross multiply
   146,050x = 161,410 × 161,410
4. Step 4: Simplify right side
   146,050x = 26,053,188,100
5. Step 5: Solve for x
   x = 26,053,188,100/146,050
6. Step 6: Final answer
   x = 178,385.40