Finding the Third Proportional to 155,538 and 340,632

Step by Step Solution

1. Step 1: Write the proportion equation
   155,538 : 340,632 = 340,632 : x
2. Step 2: Convert to fraction form
   155,538/340,632 = 340,632/x
3. Step 3: Cross multiply
   155,538x = 340,632 × 340,632
4. Step 4: Simplify right side
   155,538x = 116,030,159,424
5. Step 5: Solve for x
   x = 116,030,159,424/155,538
6. Step 6: Final answer
   x = 745,992.36