Finding the Third Proportional to 148,968 and 231,714

Step by Step Solution

1. Step 1: Write the proportion equation
   148,968 : 231,714 = 231,714 : x
2. Step 2: Convert to fraction form
   148,968/231,714 = 231,714/x
3. Step 3: Cross multiply
   148,968x = 231,714 × 231,714
4. Step 4: Simplify right side
   148,968x = 53,691,377,796
5. Step 5: Solve for x
   x = 53,691,377,796/148,968
6. Step 6: Final answer
   x = 360,422.22