Finding the Third Proportional to 181,564 and 389,360

Step by Step Solution

1. Step 1: Write the proportion equation
   181,564 : 389,360 = 389,360 : x
2. Step 2: Convert to fraction form
   181,564/389,360 = 389,360/x
3. Step 3: Cross multiply
   181,564x = 389,360 × 389,360
4. Step 4: Simplify right side
   181,564x = 151,601,209,600
5. Step 5: Solve for x
   x = 151,601,209,600/181,564
6. Step 6: Final answer
   x = 834,973.95