Finding the Third Proportional to 101,878.50 and 223,926

Step by Step Solution

1. Step 1: Write the proportion equation
   101,878.50 : 223,926 = 223,926 : x
2. Step 2: Convert to fraction form
   101,878.50/223,926 = 223,926/x
3. Step 3: Cross multiply
   101,878.50x = 223,926 × 223,926
4. Step 4: Simplify right side
   101,878.50x = 50,142,853,476
5. Step 5: Solve for x
   x = 50,142,853,476/101,878.50
6. Step 6: Final answer
   x = 492,182.88