Finding the Third Proportional to 65,618 and 101,798

Step by Step Solution

1. Step 1: Write the proportion equation
   65,618 : 101,798 = 101,798 : x
2. Step 2: Convert to fraction form
   65,618/101,798 = 101,798/x
3. Step 3: Cross multiply
   65,618x = 101,798 × 101,798
4. Step 4: Simplify right side
   65,618x = 10,362,832,804
5. Step 5: Solve for x
   x = 10,362,832,804/65,618
6. Step 6: Final answer
   x = 157,926.68