Finding the Third Proportional to 70,814 and 105,258

Step by Step Solution

1. Step 1: Write the proportion equation
   70,814 : 105,258 = 105,258 : x
2. Step 2: Convert to fraction form
   70,814/105,258 = 105,258/x
3. Step 3: Cross multiply
   70,814x = 105,258 × 105,258
4. Step 4: Simplify right side
   70,814x = 11,079,246,564
5. Step 5: Solve for x
   x = 11,079,246,564/70,814
6. Step 6: Final answer
   x = 156,455.60