Finding the Third Proportional to 65,191 and 103,618

Step by Step Solution

1. Step 1: Write the proportion equation
   65,191 : 103,618 = 103,618 : x
2. Step 2: Convert to fraction form
   65,191/103,618 = 103,618/x
3. Step 3: Cross multiply
   65,191x = 103,618 × 103,618
4. Step 4: Simplify right side
   65,191x = 10,736,689,924
5. Step 5: Solve for x
   x = 10,736,689,924/65,191
6. Step 6: Final answer
   x = 164,695.89