Finding the Third Proportional to 174,309 and 369,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,309 : 369,546.50 = 369,546.50 : x
2. Step 2: Convert to fraction form
   174,309/369,546.50 = 369,546.50/x
3. Step 3: Cross multiply
   174,309x = 369,546.50 × 369,546.50
4. Step 4: Simplify right side
   174,309x = 136,564,615,662.25
5. Step 5: Solve for x
   x = 136,564,615,662.25/174,309
6. Step 6: Final answer
   x = 783,462.79