Finding the Third Proportional to 105,926 and 157,064

Step by Step Solution

1. Step 1: Write the proportion equation
   105,926 : 157,064 = 157,064 : x
2. Step 2: Convert to fraction form
   105,926/157,064 = 157,064/x
3. Step 3: Cross multiply
   105,926x = 157,064 × 157,064
4. Step 4: Simplify right side
   105,926x = 24,669,100,096
5. Step 5: Solve for x
   x = 24,669,100,096/105,926
6. Step 6: Final answer
   x = 232,889.94