Finding the Third Proportional to 174,981 and 361,003

Step by Step Solution

1. Step 1: Write the proportion equation
   174,981 : 361,003 = 361,003 : x
2. Step 2: Convert to fraction form
   174,981/361,003 = 361,003/x
3. Step 3: Cross multiply
   174,981x = 361,003 × 361,003
4. Step 4: Simplify right side
   174,981x = 130,323,166,009
5. Step 5: Solve for x
   x = 130,323,166,009/174,981
6. Step 6: Final answer
   x = 744,784.67