Finding the Third Proportional to 139,772 and 186,221

Step by Step Solution

1. Step 1: Write the proportion equation
   139,772 : 186,221 = 186,221 : x
2. Step 2: Convert to fraction form
   139,772/186,221 = 186,221/x
3. Step 3: Cross multiply
   139,772x = 186,221 × 186,221
4. Step 4: Simplify right side
   139,772x = 34,678,260,841
5. Step 5: Solve for x
   x = 34,678,260,841/139,772
6. Step 6: Final answer
   x = 248,105.92