Finding the Third Proportional to 46,994 and 105,820

Step by Step Solution

1. Step 1: Write the proportion equation
   46,994 : 105,820 = 105,820 : x
2. Step 2: Convert to fraction form
   46,994/105,820 = 105,820/x
3. Step 3: Cross multiply
   46,994x = 105,820 × 105,820
4. Step 4: Simplify right side
   46,994x = 11,197,872,400
5. Step 5: Solve for x
   x = 11,197,872,400/46,994
6. Step 6: Final answer
   x = 238,283.02