Finding the Third Proportional to 83,738 and 189,365

Step by Step Solution

1. Step 1: Write the proportion equation
   83,738 : 189,365 = 189,365 : x
2. Step 2: Convert to fraction form
   83,738/189,365 = 189,365/x
3. Step 3: Cross multiply
   83,738x = 189,365 × 189,365
4. Step 4: Simplify right side
   83,738x = 35,859,103,225
5. Step 5: Solve for x
   x = 35,859,103,225/83,738
6. Step 6: Final answer
   x = 428,229.76