Finding the Third Proportional to 174,363 and 269,431.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,363 : 269,431.50 = 269,431.50 : x
2. Step 2: Convert to fraction form
   174,363/269,431.50 = 269,431.50/x
3. Step 3: Cross multiply
   174,363x = 269,431.50 × 269,431.50
4. Step 4: Simplify right side
   174,363x = 72,593,333,192.25
5. Step 5: Solve for x
   x = 72,593,333,192.25/174,363
6. Step 6: Final answer
   x = 416,334.50