Finding the Third Proportional to 174,354 and 269,417.25

Step by Step Solution

1. Step 1: Write the proportion equation
   174,354 : 269,417.25 = 269,417.25 : x
2. Step 2: Convert to fraction form
   174,354/269,417.25 = 269,417.25/x
3. Step 3: Cross multiply
   174,354x = 269,417.25 × 269,417.25
4. Step 4: Simplify right side
   174,354x = 72,585,654,597.56
5. Step 5: Solve for x
   x = 72,585,654,597.56/174,354
6. Step 6: Final answer
   x = 416,311.95