Finding the Third Proportional to 85,814 and 185,924

Step by Step Solution

1. Step 1: Write the proportion equation
   85,814 : 185,924 = 185,924 : x
2. Step 2: Convert to fraction form
   85,814/185,924 = 185,924/x
3. Step 3: Cross multiply
   85,814x = 185,924 × 185,924
4. Step 4: Simplify right side
   85,814x = 34,567,733,776
5. Step 5: Solve for x
   x = 34,567,733,776/85,814
6. Step 6: Final answer
   x = 402,821.61