Finding the Third Proportional to 116,691.50 and 181,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,691.50 : 181,037.50 = 181,037.50 : x
2. Step 2: Convert to fraction form
   116,691.50/181,037.50 = 181,037.50/x
3. Step 3: Cross multiply
   116,691.50x = 181,037.50 × 181,037.50
4. Step 4: Simplify right side
   116,691.50x = 32,774,576,406.25
5. Step 5: Solve for x
   x = 32,774,576,406.25/116,691.50
6. Step 6: Final answer
   x = 280,865.16