Finding the Third Proportional to 85,128 and 185,184

Step by Step Solution

1. Step 1: Write the proportion equation
   85,128 : 185,184 = 185,184 : x
2. Step 2: Convert to fraction form
   85,128/185,184 = 185,184/x
3. Step 3: Cross multiply
   85,128x = 185,184 × 185,184
4. Step 4: Simplify right side
   85,128x = 34,293,113,856
5. Step 5: Solve for x
   x = 34,293,113,856/85,128
6. Step 6: Final answer
   x = 402,841.77