Finding the Third Proportional to 56,841 and 89,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,841 : 89,166.50 = 89,166.50 : x
2. Step 2: Convert to fraction form
   56,841/89,166.50 = 89,166.50/x
3. Step 3: Cross multiply
   56,841x = 89,166.50 × 89,166.50
4. Step 4: Simplify right side
   56,841x = 7,950,664,722.25
5. Step 5: Solve for x
   x = 7,950,664,722.25/56,841
6. Step 6: Final answer
   x = 139,875.53