Finding the Third Proportional to 23,780 and 56,237

Step by Step Solution

1. Step 1: Write the proportion equation
   23,780 : 56,237 = 56,237 : x
2. Step 2: Convert to fraction form
   23,780/56,237 = 56,237/x
3. Step 3: Cross multiply
   23,780x = 56,237 × 56,237
4. Step 4: Simplify right side
   23,780x = 3,162,600,169
5. Step 5: Solve for x
   x = 3,162,600,169/23,780
6. Step 6: Final answer
   x = 132,994.12