Finding the Third Proportional to 78,798 and 114,825

Step by Step Solution

1. Step 1: Write the proportion equation
   78,798 : 114,825 = 114,825 : x
2. Step 2: Convert to fraction form
   78,798/114,825 = 114,825/x
3. Step 3: Cross multiply
   78,798x = 114,825 × 114,825
4. Step 4: Simplify right side
   78,798x = 13,184,780,625
5. Step 5: Solve for x
   x = 13,184,780,625/78,798
6. Step 6: Final answer
   x = 167,323.80