Finding the Third Proportional to 48,172 and 102,986

Step by Step Solution

1. Step 1: Write the proportion equation
   48,172 : 102,986 = 102,986 : x
2. Step 2: Convert to fraction form
   48,172/102,986 = 102,986/x
3. Step 3: Cross multiply
   48,172x = 102,986 × 102,986
4. Step 4: Simplify right side
   48,172x = 10,606,116,196
5. Step 5: Solve for x
   x = 10,606,116,196/48,172
6. Step 6: Final answer
   x = 220,171.81