Finding the Third Proportional to 76,322 and 116,760

Step by Step Solution

1. Step 1: Write the proportion equation
   76,322 : 116,760 = 116,760 : x
2. Step 2: Convert to fraction form
   76,322/116,760 = 116,760/x
3. Step 3: Cross multiply
   76,322x = 116,760 × 116,760
4. Step 4: Simplify right side
   76,322x = 13,632,897,600
5. Step 5: Solve for x
   x = 13,632,897,600/76,322
6. Step 6: Final answer
   x = 178,623.43