Finding the Third Proportional to 174,667.50 and 355,758

Step by Step Solution

1. Step 1: Write the proportion equation
   174,667.50 : 355,758 = 355,758 : x
2. Step 2: Convert to fraction form
   174,667.50/355,758 = 355,758/x
3. Step 3: Cross multiply
   174,667.50x = 355,758 × 355,758
4. Step 4: Simplify right side
   174,667.50x = 126,563,754,564
5. Step 5: Solve for x
   x = 126,563,754,564/174,667.50
6. Step 6: Final answer
   x = 724,598.19