Finding the Third Proportional to 174,795 and 264,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,795 : 264,553.50 = 264,553.50 : x
2. Step 2: Convert to fraction form
   174,795/264,553.50 = 264,553.50/x
3. Step 3: Cross multiply
   174,795x = 264,553.50 × 264,553.50
4. Step 4: Simplify right side
   174,795x = 69,988,554,362.25
5. Step 5: Solve for x
   x = 69,988,554,362.25/174,795
6. Step 6: Final answer
   x = 400,403.64