Finding the Third Proportional to 584,361 and 876,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   584,361 : 876,541.50 = 876,541.50 : x
2. Step 2: Convert to fraction form
   584,361/876,541.50 = 876,541.50/x
3. Step 3: Cross multiply
   584,361x = 876,541.50 × 876,541.50
4. Step 4: Simplify right side
   584,361x = 768,325,001,222.25
5. Step 5: Solve for x
   x = 768,325,001,222.25/584,361
6. Step 6: Final answer
   x = 1,314,812.25