Finding the Third Proportional to 90,587 and 196,781

Step by Step Solution

1. Step 1: Write the proportion equation
   90,587 : 196,781 = 196,781 : x
2. Step 2: Convert to fraction form
   90,587/196,781 = 196,781/x
3. Step 3: Cross multiply
   90,587x = 196,781 × 196,781
4. Step 4: Simplify right side
   90,587x = 38,722,761,961
5. Step 5: Solve for x
   x = 38,722,761,961/90,587
6. Step 6: Final answer
   x = 427,464.89