Finding the Third Proportional to 77,798 and 123,852

Step by Step Solution

1. Step 1: Write the proportion equation
   77,798 : 123,852 = 123,852 : x
2. Step 2: Convert to fraction form
   77,798/123,852 = 123,852/x
3. Step 3: Cross multiply
   77,798x = 123,852 × 123,852
4. Step 4: Simplify right side
   77,798x = 15,339,317,904
5. Step 5: Solve for x
   x = 15,339,317,904/77,798
6. Step 6: Final answer
   x = 197,168.54