Finding the Third Proportional to 92,166 and 139,094

Step by Step Solution

1. Step 1: Write the proportion equation
   92,166 : 139,094 = 139,094 : x
2. Step 2: Convert to fraction form
   92,166/139,094 = 139,094/x
3. Step 3: Cross multiply
   92,166x = 139,094 × 139,094
4. Step 4: Simplify right side
   92,166x = 19,347,140,836
5. Step 5: Solve for x
   x = 19,347,140,836/92,166
6. Step 6: Final answer
   x = 209,916.25