Finding the Third Proportional to 57,380 and 123,061

Step by Step Solution

1. Step 1: Write the proportion equation
   57,380 : 123,061 = 123,061 : x
2. Step 2: Convert to fraction form
   57,380/123,061 = 123,061/x
3. Step 3: Cross multiply
   57,380x = 123,061 × 123,061
4. Step 4: Simplify right side
   57,380x = 15,144,009,721
5. Step 5: Solve for x
   x = 15,144,009,721/57,380
6. Step 6: Final answer
   x = 263,924.88