Finding the Third Proportional to 152,876 and 333,516

Step by Step Solution

1. Step 1: Write the proportion equation
   152,876 : 333,516 = 333,516 : x
2. Step 2: Convert to fraction form
   152,876/333,516 = 333,516/x
3. Step 3: Cross multiply
   152,876x = 333,516 × 333,516
4. Step 4: Simplify right side
   152,876x = 111,232,922,256
5. Step 5: Solve for x
   x = 111,232,922,256/152,876
6. Step 6: Final answer
   x = 727,602.25