Finding the Third Proportional to 49,506 and 103,092

Step by Step Solution

1. Step 1: Write the proportion equation
   49,506 : 103,092 = 103,092 : x
2. Step 2: Convert to fraction form
   49,506/103,092 = 103,092/x
3. Step 3: Cross multiply
   49,506x = 103,092 × 103,092
4. Step 4: Simplify right side
   49,506x = 10,627,960,464
5. Step 5: Solve for x
   x = 10,627,960,464/49,506
6. Step 6: Final answer
   x = 214,680.25