Finding the Third Proportional to 47,506 and 109,993

Step by Step Solution

1. Step 1: Write the proportion equation
   47,506 : 109,993 = 109,993 : x
2. Step 2: Convert to fraction form
   47,506/109,993 = 109,993/x
3. Step 3: Cross multiply
   47,506x = 109,993 × 109,993
4. Step 4: Simplify right side
   47,506x = 12,098,460,049
5. Step 5: Solve for x
   x = 12,098,460,049/47,506
6. Step 6: Final answer
   x = 254,672.25