Finding the Third Proportional to 52,769.50 and 107,692

Step by Step Solution

1. Step 1: Write the proportion equation
   52,769.50 : 107,692 = 107,692 : x
2. Step 2: Convert to fraction form
   52,769.50/107,692 = 107,692/x
3. Step 3: Cross multiply
   52,769.50x = 107,692 × 107,692
4. Step 4: Simplify right side
   52,769.50x = 11,597,566,864
5. Step 5: Solve for x
   x = 11,597,566,864/52,769.50
6. Step 6: Final answer
   x = 219,777.84