Finding the Third Proportional to 78,877 and 114,714

Step by Step Solution

1. Step 1: Write the proportion equation
   78,877 : 114,714 = 114,714 : x
2. Step 2: Convert to fraction form
   78,877/114,714 = 114,714/x
3. Step 3: Cross multiply
   78,877x = 114,714 × 114,714
4. Step 4: Simplify right side
   78,877x = 13,159,301,796
5. Step 5: Solve for x
   x = 13,159,301,796/78,877
6. Step 6: Final answer
   x = 166,833.19