Finding the Third Proportional to 76,323 and 116,751

Step by Step Solution

1. Step 1: Write the proportion equation
   76,323 : 116,751 = 116,751 : x
2. Step 2: Convert to fraction form
   76,323/116,751 = 116,751/x
3. Step 3: Cross multiply
   76,323x = 116,751 × 116,751
4. Step 4: Simplify right side
   76,323x = 13,630,796,001
5. Step 5: Solve for x
   x = 13,630,796,001/76,323
6. Step 6: Final answer
   x = 178,593.56