Finding the Third Proportional to 824,360 and 1,737,272

Step by Step Solution

1. Step 1: Write the proportion equation
   824,360 : 1,737,272 = 1,737,272 : x
2. Step 2: Convert to fraction form
   824,360/1,737,272 = 1,737,272/x
3. Step 3: Cross multiply
   824,360x = 1,737,272 × 1,737,272
4. Step 4: Simplify right side
   824,360x = 3,018,114,001,984
5. Step 5: Solve for x
   x = 3,018,114,001,984/824,360
6. Step 6: Final answer
   x = 3,661,160.18