Finding the Third Proportional to 45,103 and 102,014

Step by Step Solution

1. Step 1: Write the proportion equation
   45,103 : 102,014 = 102,014 : x
2. Step 2: Convert to fraction form
   45,103/102,014 = 102,014/x
3. Step 3: Cross multiply
   45,103x = 102,014 × 102,014
4. Step 4: Simplify right side
   45,103x = 10,406,856,196
5. Step 5: Solve for x
   x = 10,406,856,196/45,103
6. Step 6: Final answer
   x = 230,735.34