Finding the Third Proportional to 117,169 and 181,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,169 : 181,579.50 = 181,579.50 : x
2. Step 2: Convert to fraction form
   117,169/181,579.50 = 181,579.50/x
3. Step 3: Cross multiply
   117,169x = 181,579.50 × 181,579.50
4. Step 4: Simplify right side
   117,169x = 32,971,114,820.25
5. Step 5: Solve for x
   x = 32,971,114,820.25/117,169
6. Step 6: Final answer
   x = 281,397.94