Finding the Third Proportional to 76,906 and 116,384

Step by Step Solution

1. Step 1: Write the proportion equation
   76,906 : 116,384 = 116,384 : x
2. Step 2: Convert to fraction form
   76,906/116,384 = 116,384/x
3. Step 3: Cross multiply
   76,906x = 116,384 × 116,384
4. Step 4: Simplify right side
   76,906x = 13,545,235,456
5. Step 5: Solve for x
   x = 13,545,235,456/76,906
6. Step 6: Final answer
   x = 176,127.16