Finding the Third Proportional to 156,696 and 369,834

Step by Step Solution

1. Step 1: Write the proportion equation
   156,696 : 369,834 = 369,834 : x
2. Step 2: Convert to fraction form
   156,696/369,834 = 369,834/x
3. Step 3: Cross multiply
   156,696x = 369,834 × 369,834
4. Step 4: Simplify right side
   156,696x = 136,777,187,556
5. Step 5: Solve for x
   x = 136,777,187,556/156,696
6. Step 6: Final answer
   x = 872,882.44