Finding the Third Proportional to 48,613 and 105,002

Step by Step Solution

1. Step 1: Write the proportion equation
   48,613 : 105,002 = 105,002 : x
2. Step 2: Convert to fraction form
   48,613/105,002 = 105,002/x
3. Step 3: Cross multiply
   48,613x = 105,002 × 105,002
4. Step 4: Simplify right side
   48,613x = 11,025,420,004
5. Step 5: Solve for x
   x = 11,025,420,004/48,613
6. Step 6: Final answer
   x = 226,799.83