Finding the Third Proportional to 117,096 and 253,733

Step by Step Solution

1. Step 1: Write the proportion equation
   117,096 : 253,733 = 253,733 : x
2. Step 2: Convert to fraction form
   117,096/253,733 = 253,733/x
3. Step 3: Cross multiply
   117,096x = 253,733 × 253,733
4. Step 4: Simplify right side
   117,096x = 64,380,435,289
5. Step 5: Solve for x
   x = 64,380,435,289/117,096
6. Step 6: Final answer
   x = 549,809.01