Finding the Third Proportional to 52,500 and 113,424

Step by Step Solution

1. Step 1: Write the proportion equation
   52,500 : 113,424 = 113,424 : x
2. Step 2: Convert to fraction form
   52,500/113,424 = 113,424/x
3. Step 3: Cross multiply
   52,500x = 113,424 × 113,424
4. Step 4: Simplify right side
   52,500x = 12,865,003,776
5. Step 5: Solve for x
   x = 12,865,003,776/52,500
6. Step 6: Final answer
   x = 245,047.69