Finding the Third Proportional to 83,511 and 172,926

Step by Step Solution

1. Step 1: Write the proportion equation
   83,511 : 172,926 = 172,926 : x
2. Step 2: Convert to fraction form
   83,511/172,926 = 172,926/x
3. Step 3: Cross multiply
   83,511x = 172,926 × 172,926
4. Step 4: Simplify right side
   83,511x = 29,903,401,476
5. Step 5: Solve for x
   x = 29,903,401,476/83,511
6. Step 6: Final answer
   x = 358,077.40