Finding the Third Proportional to 146,534 and 300,832

Step by Step Solution

1. Step 1: Write the proportion equation
   146,534 : 300,832 = 300,832 : x
2. Step 2: Convert to fraction form
   146,534/300,832 = 300,832/x
3. Step 3: Cross multiply
   146,534x = 300,832 × 300,832
4. Step 4: Simplify right side
   146,534x = 90,499,892,224
5. Step 5: Solve for x
   x = 90,499,892,224/146,534
6. Step 6: Final answer
   x = 617,603.37