Finding the Third Proportional to 85,456 and 131,424

Step by Step Solution

1. Step 1: Write the proportion equation
   85,456 : 131,424 = 131,424 : x
2. Step 2: Convert to fraction form
   85,456/131,424 = 131,424/x
3. Step 3: Cross multiply
   85,456x = 131,424 × 131,424
4. Step 4: Simplify right side
   85,456x = 17,272,267,776
5. Step 5: Solve for x
   x = 17,272,267,776/85,456
6. Step 6: Final answer
   x = 202,118.84