Finding the Third Proportional to 49,864 and 109,088

Step by Step Solution

1. Step 1: Write the proportion equation
   49,864 : 109,088 = 109,088 : x
2. Step 2: Convert to fraction form
   49,864/109,088 = 109,088/x
3. Step 3: Cross multiply
   49,864x = 109,088 × 109,088
4. Step 4: Simplify right side
   49,864x = 11,900,191,744
5. Step 5: Solve for x
   x = 11,900,191,744/49,864
6. Step 6: Final answer
   x = 238,652.97