Finding the Third Proportional to 78,798 and 119,654.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,798 : 119,654.25 = 119,654.25 : x
2. Step 2: Convert to fraction form
   78,798/119,654.25 = 119,654.25/x
3. Step 3: Cross multiply
   78,798x = 119,654.25 × 119,654.25
4. Step 4: Simplify right side
   78,798x = 14,317,139,543.06
5. Step 5: Solve for x
   x = 14,317,139,543.06/78,798
6. Step 6: Final answer
   x = 181,694.20