Finding the Third Proportional to 77,422 and 113,144

Step by Step Solution

1. Step 1: Write the proportion equation
   77,422 : 113,144 = 113,144 : x
2. Step 2: Convert to fraction form
   77,422/113,144 = 113,144/x
3. Step 3: Cross multiply
   77,422x = 113,144 × 113,144
4. Step 4: Simplify right side
   77,422x = 12,801,564,736
5. Step 5: Solve for x
   x = 12,801,564,736/77,422
6. Step 6: Final answer
   x = 165,347.90