Finding the Third Proportional to 49,442 and 102,389

Step by Step Solution

1. Step 1: Write the proportion equation
   49,442 : 102,389 = 102,389 : x
2. Step 2: Convert to fraction form
   49,442/102,389 = 102,389/x
3. Step 3: Cross multiply
   49,442x = 102,389 × 102,389
4. Step 4: Simplify right side
   49,442x = 10,483,507,321
5. Step 5: Solve for x
   x = 10,483,507,321/49,442
6. Step 6: Final answer
   x = 212,036.47