Finding the Third Proportional to 117,762 and 181,935.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,762 : 181,935.75 = 181,935.75 : x
2. Step 2: Convert to fraction form
   117,762/181,935.75 = 181,935.75/x
3. Step 3: Cross multiply
   117,762x = 181,935.75 × 181,935.75
4. Step 4: Simplify right side
   117,762x = 33,100,617,128.06
5. Step 5: Solve for x
   x = 33,100,617,128.06/117,762
6. Step 6: Final answer
   x = 281,080.63