Finding the Third Proportional to 77,885.63 and 111,378

Step by Step Solution

1. Step 1: Write the proportion equation
   77,885.63 : 111,378 = 111,378 : x
2. Step 2: Convert to fraction form
   77,885.63/111,378 = 111,378/x
3. Step 3: Cross multiply
   77,885.63x = 111,378 × 111,378
4. Step 4: Simplify right side
   77,885.63x = 12,405,058,884
5. Step 5: Solve for x
   x = 12,405,058,884/77,885.63
6. Step 6: Final answer
   x = 159,272.77