Finding the Third Proportional to 110,590 and 175,362

Step by Step Solution

1. Step 1: Write the proportion equation
   110,590 : 175,362 = 175,362 : x
2. Step 2: Convert to fraction form
   110,590/175,362 = 175,362/x
3. Step 3: Cross multiply
   110,590x = 175,362 × 175,362
4. Step 4: Simplify right side
   110,590x = 30,751,831,044
5. Step 5: Solve for x
   x = 30,751,831,044/110,590
6. Step 6: Final answer
   x = 278,070.63