Finding the Third Proportional to 76,309 and 116,732

Step by Step Solution

1. Step 1: Write the proportion equation
   76,309 : 116,732 = 116,732 : x
2. Step 2: Convert to fraction form
   76,309/116,732 = 116,732/x
3. Step 3: Cross multiply
   76,309x = 116,732 × 116,732
4. Step 4: Simplify right side
   76,309x = 13,626,359,824
5. Step 5: Solve for x
   x = 13,626,359,824/76,309
6. Step 6: Final answer
   x = 178,568.19