Finding the Third Proportional to 114,005 and 175,490

Step by Step Solution

1. Step 1: Write the proportion equation
   114,005 : 175,490 = 175,490 : x
2. Step 2: Convert to fraction form
   114,005/175,490 = 175,490/x
3. Step 3: Cross multiply
   114,005x = 175,490 × 175,490
4. Step 4: Simplify right side
   114,005x = 30,796,740,100
5. Step 5: Solve for x
   x = 30,796,740,100/114,005
6. Step 6: Final answer
   x = 270,134.99