Finding the Third Proportional to 174,156 and 355,691.25

Step by Step Solution

1. Step 1: Write the proportion equation
   174,156 : 355,691.25 = 355,691.25 : x
2. Step 2: Convert to fraction form
   174,156/355,691.25 = 355,691.25/x
3. Step 3: Cross multiply
   174,156x = 355,691.25 × 355,691.25
4. Step 4: Simplify right side
   174,156x = 126,516,265,326.56
5. Step 5: Solve for x
   x = 126,516,265,326.56/174,156
6. Step 6: Final answer
   x = 726,453.67