Finding the Third Proportional to 58,756 and 114,560

Step by Step Solution

1. Step 1: Write the proportion equation
   58,756 : 114,560 = 114,560 : x
2. Step 2: Convert to fraction form
   58,756/114,560 = 114,560/x
3. Step 3: Cross multiply
   58,756x = 114,560 × 114,560
4. Step 4: Simplify right side
   58,756x = 13,123,993,600
5. Step 5: Solve for x
   x = 13,123,993,600/58,756
6. Step 6: Final answer
   x = 223,364.31