Finding the Third Proportional to 52,654 and 112,724

Step by Step Solution

1. Step 1: Write the proportion equation
   52,654 : 112,724 = 112,724 : x
2. Step 2: Convert to fraction form
   52,654/112,724 = 112,724/x
3. Step 3: Cross multiply
   52,654x = 112,724 × 112,724
4. Step 4: Simplify right side
   52,654x = 12,706,700,176
5. Step 5: Solve for x
   x = 12,706,700,176/52,654
6. Step 6: Final answer
   x = 241,324.50