Finding the Third Proportional to 155,535 and 333,174

Step by Step Solution

1. Step 1: Write the proportion equation
   155,535 : 333,174 = 333,174 : x
2. Step 2: Convert to fraction form
   155,535/333,174 = 333,174/x
3. Step 3: Cross multiply
   155,535x = 333,174 × 333,174
4. Step 4: Simplify right side
   155,535x = 111,004,914,276
5. Step 5: Solve for x
   x = 111,004,914,276/155,535
6. Step 6: Final answer
   x = 713,697.33