Finding the Third Proportional to 585,886.50 and 885,114

Step by Step Solution

1. Step 1: Write the proportion equation
   585,886.50 : 885,114 = 885,114 : x
2. Step 2: Convert to fraction form
   585,886.50/885,114 = 885,114/x
3. Step 3: Cross multiply
   585,886.50x = 885,114 × 885,114
4. Step 4: Simplify right side
   585,886.50x = 783,426,792,996
5. Step 5: Solve for x
   x = 783,426,792,996/585,886.50
6. Step 6: Final answer
   x = 1,337,164.78