Finding the Third Proportional to 117,212 and 181,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,212 : 181,609.50 = 181,609.50 : x
2. Step 2: Convert to fraction form
   117,212/181,609.50 = 181,609.50/x
3. Step 3: Cross multiply
   117,212x = 181,609.50 × 181,609.50
4. Step 4: Simplify right side
   117,212x = 32,982,010,490.25
5. Step 5: Solve for x
   x = 32,982,010,490.25/117,212
6. Step 6: Final answer
   x = 281,387.66