Finding the Third Proportional to 78,870 and 113,370

Step by Step Solution

1. Step 1: Write the proportion equation
   78,870 : 113,370 = 113,370 : x
2. Step 2: Convert to fraction form
   78,870/113,370 = 113,370/x
3. Step 3: Cross multiply
   78,870x = 113,370 × 113,370
4. Step 4: Simplify right side
   78,870x = 12,852,756,900
5. Step 5: Solve for x
   x = 12,852,756,900/78,870
6. Step 6: Final answer
   x = 162,961.29