Finding the Third Proportional to 525,564 and 1,152,864

Step by Step Solution

1. Step 1: Write the proportion equation
   525,564 : 1,152,864 = 1,152,864 : x
2. Step 2: Convert to fraction form
   525,564/1,152,864 = 1,152,864/x
3. Step 3: Cross multiply
   525,564x = 1,152,864 × 1,152,864
4. Step 4: Simplify right side
   525,564x = 1,329,095,402,496
5. Step 5: Solve for x
   x = 1,329,095,402,496/525,564
6. Step 6: Final answer
   x = 2,528,893.54