Finding the Third Proportional to 156,544 and 347,648

Step by Step Solution

1. Step 1: Write the proportion equation
   156,544 : 347,648 = 347,648 : x
2. Step 2: Convert to fraction form
   156,544/347,648 = 347,648/x
3. Step 3: Cross multiply
   156,544x = 347,648 × 347,648
4. Step 4: Simplify right side
   156,544x = 120,859,131,904
5. Step 5: Solve for x
   x = 120,859,131,904/156,544
6. Step 6: Final answer
   x = 772,045.76