Finding the Third Proportional to 85,926 and 131,457

Step by Step Solution

1. Step 1: Write the proportion equation
   85,926 : 131,457 = 131,457 : x
2. Step 2: Convert to fraction form
   85,926/131,457 = 131,457/x
3. Step 3: Cross multiply
   85,926x = 131,457 × 131,457
4. Step 4: Simplify right side
   85,926x = 17,280,942,849
5. Step 5: Solve for x
   x = 17,280,942,849/85,926
6. Step 6: Final answer
   x = 201,114.25