Finding the Third Proportional to 78,802 and 114,833

Step by Step Solution

1. Step 1: Write the proportion equation
   78,802 : 114,833 = 114,833 : x
2. Step 2: Convert to fraction form
   78,802/114,833 = 114,833/x
3. Step 3: Cross multiply
   78,802x = 114,833 × 114,833
4. Step 4: Simplify right side
   78,802x = 13,186,617,889
5. Step 5: Solve for x
   x = 13,186,617,889/78,802
6. Step 6: Final answer
   x = 167,338.62