Finding the Third Proportional to 78,470 and 111,785

Step by Step Solution

1. Step 1: Write the proportion equation
   78,470 : 111,785 = 111,785 : x
2. Step 2: Convert to fraction form
   78,470/111,785 = 111,785/x
3. Step 3: Cross multiply
   78,470x = 111,785 × 111,785
4. Step 4: Simplify right side
   78,470x = 12,495,886,225
5. Step 5: Solve for x
   x = 12,495,886,225/78,470
6. Step 6: Final answer
   x = 159,244.12