Finding the Third Proportional to 49,921 and 108,590

Step by Step Solution

1. Step 1: Write the proportion equation
   49,921 : 108,590 = 108,590 : x
2. Step 2: Convert to fraction form
   49,921/108,590 = 108,590/x
3. Step 3: Cross multiply
   49,921x = 108,590 × 108,590
4. Step 4: Simplify right side
   49,921x = 11,791,788,100
5. Step 5: Solve for x
   x = 11,791,788,100/49,921
6. Step 6: Final answer
   x = 236,208.97