Finding the Third Proportional to 174,796.50 and 269,922

Step by Step Solution

1. Step 1: Write the proportion equation
   174,796.50 : 269,922 = 269,922 : x
2. Step 2: Convert to fraction form
   174,796.50/269,922 = 269,922/x
3. Step 3: Cross multiply
   174,796.50x = 269,922 × 269,922
4. Step 4: Simplify right side
   174,796.50x = 72,857,886,084
5. Step 5: Solve for x
   x = 72,857,886,084/174,796.50
6. Step 6: Final answer
   x = 416,815.47