Finding the Third Proportional to 174,857.50 and 265,705

Step by Step Solution

1. Step 1: Write the proportion equation
   174,857.50 : 265,705 = 265,705 : x
2. Step 2: Convert to fraction form
   174,857.50/265,705 = 265,705/x
3. Step 3: Cross multiply
   174,857.50x = 265,705 × 265,705
4. Step 4: Simplify right side
   174,857.50x = 70,599,147,025
5. Step 5: Solve for x
   x = 70,599,147,025/174,857.50
6. Step 6: Final answer
   x = 403,752.47