Finding the Third Proportional to 174,864 and 270,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,864 : 270,010.50 = 270,010.50 : x
2. Step 2: Convert to fraction form
   174,864/270,010.50 = 270,010.50/x
3. Step 3: Cross multiply
   174,864x = 270,010.50 × 270,010.50
4. Step 4: Simplify right side
   174,864x = 72,905,670,110.25
5. Step 5: Solve for x
   x = 72,905,670,110.25/174,864
6. Step 6: Final answer
   x = 416,927.84