Finding the Third Proportional to 65,438 and 103,786

Step by Step Solution

1. Step 1: Write the proportion equation
   65,438 : 103,786 = 103,786 : x
2. Step 2: Convert to fraction form
   65,438/103,786 = 103,786/x
3. Step 3: Cross multiply
   65,438x = 103,786 × 103,786
4. Step 4: Simplify right side
   65,438x = 10,771,533,796
5. Step 5: Solve for x
   x = 10,771,533,796/65,438
6. Step 6: Final answer
   x = 164,606.71