Finding the Third Proportional to 116,700 and 181,051

Step by Step Solution

1. Step 1: Write the proportion equation
   116,700 : 181,051 = 181,051 : x
2. Step 2: Convert to fraction form
   116,700/181,051 = 181,051/x
3. Step 3: Cross multiply
   116,700x = 181,051 × 181,051
4. Step 4: Simplify right side
   116,700x = 32,779,464,601
5. Step 5: Solve for x
   x = 32,779,464,601/116,700
6. Step 6: Final answer
   x = 280,886.59