Finding the Third Proportional to 35,906 and 78,618

Step by Step Solution

1. Step 1: Write the proportion equation
   35,906 : 78,618 = 78,618 : x
2. Step 2: Convert to fraction form
   35,906/78,618 = 78,618/x
3. Step 3: Cross multiply
   35,906x = 78,618 × 78,618
4. Step 4: Simplify right side
   35,906x = 6,180,789,924
5. Step 5: Solve for x
   x = 6,180,789,924/35,906
6. Step 6: Final answer
   x = 172,138.08