Finding the Third Proportional to 50,321 and 107,688

Step by Step Solution

1. Step 1: Write the proportion equation
   50,321 : 107,688 = 107,688 : x
2. Step 2: Convert to fraction form
   50,321/107,688 = 107,688/x
3. Step 3: Cross multiply
   50,321x = 107,688 × 107,688
4. Step 4: Simplify right side
   50,321x = 11,596,705,344
5. Step 5: Solve for x
   x = 11,596,705,344/50,321
6. Step 6: Final answer
   x = 230,454.59