Finding the Third Proportional to 77,196 and 113,618

Step by Step Solution

1. Step 1: Write the proportion equation
   77,196 : 113,618 = 113,618 : x
2. Step 2: Convert to fraction form
   77,196/113,618 = 113,618/x
3. Step 3: Cross multiply
   77,196x = 113,618 × 113,618
4. Step 4: Simplify right side
   77,196x = 12,909,049,924
5. Step 5: Solve for x
   x = 12,909,049,924/77,196
6. Step 6: Final answer
   x = 167,224.34