Finding the Third Proportional to 117,759 and 181,930.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,759 : 181,930.50 = 181,930.50 : x
2. Step 2: Convert to fraction form
   117,759/181,930.50 = 181,930.50/x
3. Step 3: Cross multiply
   117,759x = 181,930.50 × 181,930.50
4. Step 4: Simplify right side
   117,759x = 33,098,706,830.25
5. Step 5: Solve for x
   x = 33,098,706,830.25/117,759
6. Step 6: Final answer
   x = 281,071.57