Finding the Third Proportional to 174,433.50 and 269,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,433.50 : 269,878.50 = 269,878.50 : x
2. Step 2: Convert to fraction form
   174,433.50/269,878.50 = 269,878.50/x
3. Step 3: Cross multiply
   174,433.50x = 269,878.50 × 269,878.50
4. Step 4: Simplify right side
   174,433.50x = 72,834,404,762.25
5. Step 5: Solve for x
   x = 72,834,404,762.25/174,433.50
6. Step 6: Final answer
   x = 417,548.26