Finding the Third Proportional to 77,419 and 113,141

Step by Step Solution

1. Step 1: Write the proportion equation
   77,419 : 113,141 = 113,141 : x
2. Step 2: Convert to fraction form
   77,419/113,141 = 113,141/x
3. Step 3: Cross multiply
   77,419x = 113,141 × 113,141
4. Step 4: Simplify right side
   77,419x = 12,800,885,881
5. Step 5: Solve for x
   x = 12,800,885,881/77,419
6. Step 6: Final answer
   x = 165,345.53