Finding the Third Proportional to 94,618 and 142,322

Step by Step Solution

1. Step 1: Write the proportion equation
   94,618 : 142,322 = 142,322 : x
2. Step 2: Convert to fraction form
   94,618/142,322 = 142,322/x
3. Step 3: Cross multiply
   94,618x = 142,322 × 142,322
4. Step 4: Simplify right side
   94,618x = 20,255,551,684
5. Step 5: Solve for x
   x = 20,255,551,684/94,618
6. Step 6: Final answer
   x = 214,077.15