Finding the Third Proportional to 102,798 and 161,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,798 : 161,296.50 = 161,296.50 : x
2. Step 2: Convert to fraction form
   102,798/161,296.50 = 161,296.50/x
3. Step 3: Cross multiply
   102,798x = 161,296.50 × 161,296.50
4. Step 4: Simplify right side
   102,798x = 26,016,560,912.25
5. Step 5: Solve for x
   x = 26,016,560,912.25/102,798
6. Step 6: Final answer
   x = 253,084.31