Finding the Third Proportional to 69,798 and 111,171.75

Step by Step Solution

1. Step 1: Write the proportion equation
   69,798 : 111,171.75 = 111,171.75 : x
2. Step 2: Convert to fraction form
   69,798/111,171.75 = 111,171.75/x
3. Step 3: Cross multiply
   69,798x = 111,171.75 × 111,171.75
4. Step 4: Simplify right side
   69,798x = 12,359,157,998.06
5. Step 5: Solve for x
   x = 12,359,157,998.06/69,798
6. Step 6: Final answer
   x = 177,070.37