Finding the Third Proportional to 56,824 and 89,140

Step by Step Solution

1. Step 1: Write the proportion equation
   56,824 : 89,140 = 89,140 : x
2. Step 2: Convert to fraction form
   56,824/89,140 = 89,140/x
3. Step 3: Cross multiply
   56,824x = 89,140 × 89,140
4. Step 4: Simplify right side
   56,824x = 7,945,939,600
5. Step 5: Solve for x
   x = 7,945,939,600/56,824
6. Step 6: Final answer
   x = 139,834.22