Finding the Third Proportional to 113,899.50 and 180,126

Step by Step Solution

1. Step 1: Write the proportion equation
   113,899.50 : 180,126 = 180,126 : x
2. Step 2: Convert to fraction form
   113,899.50/180,126 = 180,126/x
3. Step 3: Cross multiply
   113,899.50x = 180,126 × 180,126
4. Step 4: Simplify right side
   113,899.50x = 32,445,375,876
5. Step 5: Solve for x
   x = 32,445,375,876/113,899.50
6. Step 6: Final answer
   x = 284,859.69