Finding the Third Proportional to 98,404 and 138,084

Step by Step Solution

1. Step 1: Write the proportion equation
   98,404 : 138,084 = 138,084 : x
2. Step 2: Convert to fraction form
   98,404/138,084 = 138,084/x
3. Step 3: Cross multiply
   98,404x = 138,084 × 138,084
4. Step 4: Simplify right side
   98,404x = 19,067,191,056
5. Step 5: Solve for x
   x = 19,067,191,056/98,404
6. Step 6: Final answer
   x = 193,764.39