Finding the Third Proportional to 65,843 and 142,926

Step by Step Solution

1. Step 1: Write the proportion equation
   65,843 : 142,926 = 142,926 : x
2. Step 2: Convert to fraction form
   65,843/142,926 = 142,926/x
3. Step 3: Cross multiply
   65,843x = 142,926 × 142,926
4. Step 4: Simplify right side
   65,843x = 20,427,841,476
5. Step 5: Solve for x
   x = 20,427,841,476/65,843
6. Step 6: Final answer
   x = 310,250.77