Finding the Third Proportional to 46,178 and 69,321

Step by Step Solution

1. Step 1: Write the proportion equation
   46,178 : 69,321 = 69,321 : x
2. Step 2: Convert to fraction form
   46,178/69,321 = 69,321/x
3. Step 3: Cross multiply
   46,178x = 69,321 × 69,321
4. Step 4: Simplify right side
   46,178x = 4,805,401,041
5. Step 5: Solve for x
   x = 4,805,401,041/46,178
6. Step 6: Final answer
   x = 104,062.56