Finding the Third Proportional to 118,394 and 181,114

Step by Step Solution

1. Step 1: Write the proportion equation
   118,394 : 181,114 = 181,114 : x
2. Step 2: Convert to fraction form
   118,394/181,114 = 181,114/x
3. Step 3: Cross multiply
   118,394x = 181,114 × 181,114
4. Step 4: Simplify right side
   118,394x = 32,802,280,996
5. Step 5: Solve for x
   x = 32,802,280,996/118,394
6. Step 6: Final answer
   x = 277,060.33