Finding the Third Proportional to 174,636 and 265,497.75

Step by Step Solution

1. Step 1: Write the proportion equation
   174,636 : 265,497.75 = 265,497.75 : x
2. Step 2: Convert to fraction form
   174,636/265,497.75 = 265,497.75/x
3. Step 3: Cross multiply
   174,636x = 265,497.75 × 265,497.75
4. Step 4: Simplify right side
   174,636x = 70,489,055,255.06
5. Step 5: Solve for x
   x = 70,489,055,255.06/174,636
6. Step 6: Final answer
   x = 403,634.16