Finding the Third Proportional to 85,761 and 185,346

Step by Step Solution

1. Step 1: Write the proportion equation
   85,761 : 185,346 = 185,346 : x
2. Step 2: Convert to fraction form
   85,761/185,346 = 185,346/x
3. Step 3: Cross multiply
   85,761x = 185,346 × 185,346
4. Step 4: Simplify right side
   85,761x = 34,353,139,716
5. Step 5: Solve for x
   x = 34,353,139,716/85,761
6. Step 6: Final answer
   x = 400,568.32