Finding the Third Proportional to 90,692 and 140,774

Step by Step Solution

1. Step 1: Write the proportion equation
   90,692 : 140,774 = 140,774 : x
2. Step 2: Convert to fraction form
   90,692/140,774 = 140,774/x
3. Step 3: Cross multiply
   90,692x = 140,774 × 140,774
4. Step 4: Simplify right side
   90,692x = 19,817,319,076
5. Step 5: Solve for x
   x = 19,817,319,076/90,692
6. Step 6: Final answer
   x = 218,512.32