Finding the Third Proportional to 77,510 and 116,834

Step by Step Solution

1. Step 1: Write the proportion equation
   77,510 : 116,834 = 116,834 : x
2. Step 2: Convert to fraction form
   77,510/116,834 = 116,834/x
3. Step 3: Cross multiply
   77,510x = 116,834 × 116,834
4. Step 4: Simplify right side
   77,510x = 13,650,183,556
5. Step 5: Solve for x
   x = 13,650,183,556/77,510
6. Step 6: Final answer
   x = 176,108.68