Finding the Third Proportional to 81,376 and 123,212

Step by Step Solution

1. Step 1: Write the proportion equation
   81,376 : 123,212 = 123,212 : x
2. Step 2: Convert to fraction form
   81,376/123,212 = 123,212/x
3. Step 3: Cross multiply
   81,376x = 123,212 × 123,212
4. Step 4: Simplify right side
   81,376x = 15,181,196,944
5. Step 5: Solve for x
   x = 15,181,196,944/81,376
6. Step 6: Final answer
   x = 186,556.20