Finding the Third Proportional to 72,174 and 113,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,174 : 113,377.50 = 113,377.50 : x
2. Step 2: Convert to fraction form
   72,174/113,377.50 = 113,377.50/x
3. Step 3: Cross multiply
   72,174x = 113,377.50 × 113,377.50
4. Step 4: Simplify right side
   72,174x = 12,854,457,506.25
5. Step 5: Solve for x
   x = 12,854,457,506.25/72,174
6. Step 6: Final answer
   x = 178,103.71