Finding the Third Proportional to 156,738 and 338,410

Step by Step Solution

1. Step 1: Write the proportion equation
   156,738 : 338,410 = 338,410 : x
2. Step 2: Convert to fraction form
   156,738/338,410 = 338,410/x
3. Step 3: Cross multiply
   156,738x = 338,410 × 338,410
4. Step 4: Simplify right side
   156,738x = 114,521,328,100
5. Step 5: Solve for x
   x = 114,521,328,100/156,738
6. Step 6: Final answer
   x = 730,654.52