Finding the Third Proportional to 49,513 and 103,106

Step by Step Solution

1. Step 1: Write the proportion equation
   49,513 : 103,106 = 103,106 : x
2. Step 2: Convert to fraction form
   49,513/103,106 = 103,106/x
3. Step 3: Cross multiply
   49,513x = 103,106 × 103,106
4. Step 4: Simplify right side
   49,513x = 10,630,847,236
5. Step 5: Solve for x
   x = 10,630,847,236/49,513
6. Step 6: Final answer
   x = 214,708.20