Finding the Third Proportional to 74,828 and 114,870

Step by Step Solution

1. Step 1: Write the proportion equation
   74,828 : 114,870 = 114,870 : x
2. Step 2: Convert to fraction form
   74,828/114,870 = 114,870/x
3. Step 3: Cross multiply
   74,828x = 114,870 × 114,870
4. Step 4: Simplify right side
   74,828x = 13,195,116,900
5. Step 5: Solve for x
   x = 13,195,116,900/74,828
6. Step 6: Final answer
   x = 176,339.30