Finding the Third Proportional to 174,147.75 and 355,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,147.75 : 355,675.50 = 355,675.50 : x
2. Step 2: Convert to fraction form
   174,147.75/355,675.50 = 355,675.50/x
3. Step 3: Cross multiply
   174,147.75x = 355,675.50 × 355,675.50
4. Step 4: Simplify right side
   174,147.75x = 126,505,061,300.25
5. Step 5: Solve for x
   x = 126,505,061,300.25/174,147.75
6. Step 6: Final answer
   x = 726,423.75