Finding the Third Proportional to 85,094 and 181,772

Step by Step Solution

1. Step 1: Write the proportion equation
   85,094 : 181,772 = 181,772 : x
2. Step 2: Convert to fraction form
   85,094/181,772 = 181,772/x
3. Step 3: Cross multiply
   85,094x = 181,772 × 181,772
4. Step 4: Simplify right side
   85,094x = 33,041,059,984
5. Step 5: Solve for x
   x = 33,041,059,984/85,094
6. Step 6: Final answer
   x = 388,288.95