Finding the Third Proportional to 191,138 and 405,064

Step by Step Solution

1. Step 1: Write the proportion equation
   191,138 : 405,064 = 405,064 : x
2. Step 2: Convert to fraction form
   191,138/405,064 = 405,064/x
3. Step 3: Cross multiply
   191,138x = 405,064 × 405,064
4. Step 4: Simplify right side
   191,138x = 164,076,844,096
5. Step 5: Solve for x
   x = 164,076,844,096/191,138
6. Step 6: Final answer
   x = 858,420.85