Finding the Third Proportional to 174,852 and 265,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,852 : 265,693.50 = 265,693.50 : x
2. Step 2: Convert to fraction form
   174,852/265,693.50 = 265,693.50/x
3. Step 3: Cross multiply
   174,852x = 265,693.50 × 265,693.50
4. Step 4: Simplify right side
   174,852x = 70,593,035,942.25
5. Step 5: Solve for x
   x = 70,593,035,942.25/174,852
6. Step 6: Final answer
   x = 403,730.22