Finding the Third Proportional to 131,680 and 212,064

Step by Step Solution

1. Step 1: Write the proportion equation
   131,680 : 212,064 = 212,064 : x
2. Step 2: Convert to fraction form
   131,680/212,064 = 212,064/x
3. Step 3: Cross multiply
   131,680x = 212,064 × 212,064
4. Step 4: Simplify right side
   131,680x = 44,971,140,096
5. Step 5: Solve for x
   x = 44,971,140,096/131,680
6. Step 6: Final answer
   x = 341,518.38