Finding the Third Proportional to 100,003 and 146,056

Step by Step Solution

1. Step 1: Write the proportion equation
   100,003 : 146,056 = 146,056 : x
2. Step 2: Convert to fraction form
   100,003/146,056 = 146,056/x
3. Step 3: Cross multiply
   100,003x = 146,056 × 146,056
4. Step 4: Simplify right side
   100,003x = 21,332,355,136
5. Step 5: Solve for x
   x = 21,332,355,136/100,003
6. Step 6: Final answer
   x = 213,317.15