Finding the Third Proportional to 69,178 and 104,046

Step by Step Solution

1. Step 1: Write the proportion equation
   69,178 : 104,046 = 104,046 : x
2. Step 2: Convert to fraction form
   69,178/104,046 = 104,046/x
3. Step 3: Cross multiply
   69,178x = 104,046 × 104,046
4. Step 4: Simplify right side
   69,178x = 10,825,570,116
5. Step 5: Solve for x
   x = 10,825,570,116/69,178
6. Step 6: Final answer
   x = 156,488.63