Finding the Third Proportional to 605,537 and 822,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   605,537 : 822,738.50 = 822,738.50 : x
2. Step 2: Convert to fraction form
   605,537/822,738.50 = 822,738.50/x
3. Step 3: Cross multiply
   605,537x = 822,738.50 × 822,738.50
4. Step 4: Simplify right side
   605,537x = 676,898,639,382.25
5. Step 5: Solve for x
   x = 676,898,639,382.25/605,537
6. Step 6: Final answer
   x = 1,117,848.52