Finding the Third Proportional to 151,677 and 333,164

Step by Step Solution

1. Step 1: Write the proportion equation
   151,677 : 333,164 = 333,164 : x
2. Step 2: Convert to fraction form
   151,677/333,164 = 333,164/x
3. Step 3: Cross multiply
   151,677x = 333,164 × 333,164
4. Step 4: Simplify right side
   151,677x = 110,998,250,896
5. Step 5: Solve for x
   x = 110,998,250,896/151,677
6. Step 6: Final answer
   x = 731,806.74