Finding the Third Proportional to 151,786 and 333,097

Step by Step Solution

1. Step 1: Write the proportion equation
   151,786 : 333,097 = 333,097 : x
2. Step 2: Convert to fraction form
   151,786/333,097 = 333,097/x
3. Step 3: Cross multiply
   151,786x = 333,097 × 333,097
4. Step 4: Simplify right side
   151,786x = 110,953,611,409
5. Step 5: Solve for x
   x = 110,953,611,409/151,786
6. Step 6: Final answer
   x = 730,987.12