Finding the Third Proportional to 49,256 and 102,352

Step by Step Solution

1. Step 1: Write the proportion equation
   49,256 : 102,352 = 102,352 : x
2. Step 2: Convert to fraction form
   49,256/102,352 = 102,352/x
3. Step 3: Cross multiply
   49,256x = 102,352 × 102,352
4. Step 4: Simplify right side
   49,256x = 10,475,931,904
5. Step 5: Solve for x
   x = 10,475,931,904/49,256
6. Step 6: Final answer
   x = 212,683.37