Finding the Third Proportional to 155,538 and 333,106

Step by Step Solution

1. Step 1: Write the proportion equation
   155,538 : 333,106 = 333,106 : x
2. Step 2: Convert to fraction form
   155,538/333,106 = 333,106/x
3. Step 3: Cross multiply
   155,538x = 333,106 × 333,106
4. Step 4: Simplify right side
   155,538x = 110,959,607,236
5. Step 5: Solve for x
   x = 110,959,607,236/155,538
6. Step 6: Final answer
   x = 713,392.27