Finding the Third Proportional to 118,003 and 186,944

Step by Step Solution

1. Step 1: Write the proportion equation
   118,003 : 186,944 = 186,944 : x
2. Step 2: Convert to fraction form
   118,003/186,944 = 186,944/x
3. Step 3: Cross multiply
   118,003x = 186,944 × 186,944
4. Step 4: Simplify right side
   118,003x = 34,948,059,136
5. Step 5: Solve for x
   x = 34,948,059,136/118,003
6. Step 6: Final answer
   x = 296,162.46