Finding the Third Proportional to 92,506 and 138,384

Step by Step Solution

1. Step 1: Write the proportion equation
   92,506 : 138,384 = 138,384 : x
2. Step 2: Convert to fraction form
   92,506/138,384 = 138,384/x
3. Step 3: Cross multiply
   92,506x = 138,384 × 138,384
4. Step 4: Simplify right side
   92,506x = 19,150,131,456
5. Step 5: Solve for x
   x = 19,150,131,456/92,506
6. Step 6: Final answer
   x = 207,015.02