Finding the Third Proportional to 55,543.50 and 122,166

Step by Step Solution

1. Step 1: Write the proportion equation
   55,543.50 : 122,166 = 122,166 : x
2. Step 2: Convert to fraction form
   55,543.50/122,166 = 122,166/x
3. Step 3: Cross multiply
   55,543.50x = 122,166 × 122,166
4. Step 4: Simplify right side
   55,543.50x = 14,924,531,556
5. Step 5: Solve for x
   x = 14,924,531,556/55,543.50
6. Step 6: Final answer
   x = 268,699.88