Finding the Third Proportional to 92,185 and 139,126

Step by Step Solution

1. Step 1: Write the proportion equation
   92,185 : 139,126 = 139,126 : x
2. Step 2: Convert to fraction form
   92,185/139,126 = 139,126/x
3. Step 3: Cross multiply
   92,185x = 139,126 × 139,126
4. Step 4: Simplify right side
   92,185x = 19,356,043,876
5. Step 5: Solve for x
   x = 19,356,043,876/92,185
6. Step 6: Final answer
   x = 209,969.56