Finding the Third Proportional to 156,824 and 342,080

Step by Step Solution

1. Step 1: Write the proportion equation
   156,824 : 342,080 = 342,080 : x
2. Step 2: Convert to fraction form
   156,824/342,080 = 342,080/x
3. Step 3: Cross multiply
   156,824x = 342,080 × 342,080
4. Step 4: Simplify right side
   156,824x = 117,018,726,400
5. Step 5: Solve for x
   x = 117,018,726,400/156,824
6. Step 6: Final answer
   x = 746,178.69