Finding the Third Proportional to 77,002 and 112,836

Step by Step Solution

1. Step 1: Write the proportion equation
   77,002 : 112,836 = 112,836 : x
2. Step 2: Convert to fraction form
   77,002/112,836 = 112,836/x
3. Step 3: Cross multiply
   77,002x = 112,836 × 112,836
4. Step 4: Simplify right side
   77,002x = 12,731,962,896
5. Step 5: Solve for x
   x = 12,731,962,896/77,002
6. Step 6: Final answer
   x = 165,345.87