Finding the Third Proportional to 174,672 and 355,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,672 : 355,768.50 = 355,768.50 : x
2. Step 2: Convert to fraction form
   174,672/355,768.50 = 355,768.50/x
3. Step 3: Cross multiply
   174,672x = 355,768.50 × 355,768.50
4. Step 4: Simplify right side
   174,672x = 126,571,225,592.25
5. Step 5: Solve for x
   x = 126,571,225,592.25/174,672
6. Step 6: Final answer
   x = 724,622.30