Finding the Third Proportional to 89,602 and 139,850

Step by Step Solution

1. Step 1: Write the proportion equation
   89,602 : 139,850 = 139,850 : x
2. Step 2: Convert to fraction form
   89,602/139,850 = 139,850/x
3. Step 3: Cross multiply
   89,602x = 139,850 × 139,850
4. Step 4: Simplify right side
   89,602x = 19,558,022,500
5. Step 5: Solve for x
   x = 19,558,022,500/89,602
6. Step 6: Final answer
   x = 218,276.63