Finding the Third Proportional to 49,850 and 109,060

Step by Step Solution

1. Step 1: Write the proportion equation
   49,850 : 109,060 = 109,060 : x
2. Step 2: Convert to fraction form
   49,850/109,060 = 109,060/x
3. Step 3: Cross multiply
   49,850x = 109,060 × 109,060
4. Step 4: Simplify right side
   49,850x = 11,894,083,600
5. Step 5: Solve for x
   x = 11,894,083,600/49,850
6. Step 6: Final answer
   x = 238,597.46