Finding the Third Proportional to 114,174 and 181,830

Step by Step Solution

1. Step 1: Write the proportion equation
   114,174 : 181,830 = 181,830 : x
2. Step 2: Convert to fraction form
   114,174/181,830 = 181,830/x
3. Step 3: Cross multiply
   114,174x = 181,830 × 181,830
4. Step 4: Simplify right side
   114,174x = 33,062,148,900
5. Step 5: Solve for x
   x = 33,062,148,900/114,174
6. Step 6: Final answer
   x = 289,576.86