Finding the Third Proportional to 77,124 and 113,254

Step by Step Solution

1. Step 1: Write the proportion equation
   77,124 : 113,254 = 113,254 : x
2. Step 2: Convert to fraction form
   77,124/113,254 = 113,254/x
3. Step 3: Cross multiply
   77,124x = 113,254 × 113,254
4. Step 4: Simplify right side
   77,124x = 12,826,468,516
5. Step 5: Solve for x
   x = 12,826,468,516/77,124
6. Step 6: Final answer
   x = 166,309.69