Finding the Third Proportional to 48,530 and 105,602

Step by Step Solution

1. Step 1: Write the proportion equation
   48,530 : 105,602 = 105,602 : x
2. Step 2: Convert to fraction form
   48,530/105,602 = 105,602/x
3. Step 3: Cross multiply
   48,530x = 105,602 × 105,602
4. Step 4: Simplify right side
   48,530x = 11,151,782,404
5. Step 5: Solve for x
   x = 11,151,782,404/48,530
6. Step 6: Final answer
   x = 229,791.52