Finding the Third Proportional to 102,002 and 155,926

Step by Step Solution

1. Step 1: Write the proportion equation
   102,002 : 155,926 = 155,926 : x
2. Step 2: Convert to fraction form
   102,002/155,926 = 155,926/x
3. Step 3: Cross multiply
   102,002x = 155,926 × 155,926
4. Step 4: Simplify right side
   102,002x = 24,312,917,476
5. Step 5: Solve for x
   x = 24,312,917,476/102,002
6. Step 6: Final answer
   x = 238,357.26