Finding the Third Proportional to 75,096 and 112,410

Step by Step Solution

1. Step 1: Write the proportion equation
   75,096 : 112,410 = 112,410 : x
2. Step 2: Convert to fraction form
   75,096/112,410 = 112,410/x
3. Step 3: Cross multiply
   75,096x = 112,410 × 112,410
4. Step 4: Simplify right side
   75,096x = 12,636,008,100
5. Step 5: Solve for x
   x = 12,636,008,100/75,096
6. Step 6: Final answer
   x = 168,264.73