Finding the Third Proportional to 84,377 and 123,234

Step by Step Solution

1. Step 1: Write the proportion equation
   84,377 : 123,234 = 123,234 : x
2. Step 2: Convert to fraction form
   84,377/123,234 = 123,234/x
3. Step 3: Cross multiply
   84,377x = 123,234 × 123,234
4. Step 4: Simplify right side
   84,377x = 15,186,618,756
5. Step 5: Solve for x
   x = 15,186,618,756/84,377
6. Step 6: Final answer
   x = 179,985.29