Finding the Third Proportional to 49,798 and 77,091

Step by Step Solution

1. Step 1: Write the proportion equation
   49,798 : 77,091 = 77,091 : x
2. Step 2: Convert to fraction form
   49,798/77,091 = 77,091/x
3. Step 3: Cross multiply
   49,798x = 77,091 × 77,091
4. Step 4: Simplify right side
   49,798x = 5,943,022,281
5. Step 5: Solve for x
   x = 5,943,022,281/49,798
6. Step 6: Final answer
   x = 119,342.59