Finding the Third Proportional to 824,688 and 1,757,376

Step by Step Solution

1. Step 1: Write the proportion equation
   824,688 : 1,757,376 = 1,757,376 : x
2. Step 2: Convert to fraction form
   824,688/1,757,376 = 1,757,376/x
3. Step 3: Cross multiply
   824,688x = 1,757,376 × 1,757,376
4. Step 4: Simplify right side
   824,688x = 3,088,370,405,376
5. Step 5: Solve for x
   x = 3,088,370,405,376/824,688
6. Step 6: Final answer
   x = 3,744,895.53