Finding the Third Proportional to 111,705 and 156,258

Step by Step Solution

1. Step 1: Write the proportion equation
   111,705 : 156,258 = 156,258 : x
2. Step 2: Convert to fraction form
   111,705/156,258 = 156,258/x
3. Step 3: Cross multiply
   111,705x = 156,258 × 156,258
4. Step 4: Simplify right side
   111,705x = 24,416,562,564
5. Step 5: Solve for x
   x = 24,416,562,564/111,705
6. Step 6: Final answer
   x = 218,580.75