Finding the Third Proportional to 90,686 and 142,985

Step by Step Solution

1. Step 1: Write the proportion equation
   90,686 : 142,985 = 142,985 : x
2. Step 2: Convert to fraction form
   90,686/142,985 = 142,985/x
3. Step 3: Cross multiply
   90,686x = 142,985 × 142,985
4. Step 4: Simplify right side
   90,686x = 20,444,710,225
5. Step 5: Solve for x
   x = 20,444,710,225/90,686
6. Step 6: Final answer
   x = 225,445.05