Finding the Third Proportional to 124,536 and 188,100

Step by Step Solution

1. Step 1: Write the proportion equation
   124,536 : 188,100 = 188,100 : x
2. Step 2: Convert to fraction form
   124,536/188,100 = 188,100/x
3. Step 3: Cross multiply
   124,536x = 188,100 × 188,100
4. Step 4: Simplify right side
   124,536x = 35,381,610,000
5. Step 5: Solve for x
   x = 35,381,610,000/124,536
6. Step 6: Final answer
   x = 284,107.49