Finding the Third Proportional to 39,123 and 86,184

Step by Step Solution

1. Step 1: Write the proportion equation
   39,123 : 86,184 = 86,184 : x
2. Step 2: Convert to fraction form
   39,123/86,184 = 86,184/x
3. Step 3: Cross multiply
   39,123x = 86,184 × 86,184
4. Step 4: Simplify right side
   39,123x = 7,427,681,856
5. Step 5: Solve for x
   x = 7,427,681,856/39,123
6. Step 6: Final answer
   x = 189,854.61