Finding the Third Proportional to 83,570 and 126,064

Step by Step Solution

1. Step 1: Write the proportion equation
   83,570 : 126,064 = 126,064 : x
2. Step 2: Convert to fraction form
   83,570/126,064 = 126,064/x
3. Step 3: Cross multiply
   83,570x = 126,064 × 126,064
4. Step 4: Simplify right side
   83,570x = 15,892,132,096
5. Step 5: Solve for x
   x = 15,892,132,096/83,570
6. Step 6: Final answer
   x = 190,165.52