Finding the Third Proportional to 45,994 and 100,820

Step by Step Solution

1. Step 1: Write the proportion equation
   45,994 : 100,820 = 100,820 : x
2. Step 2: Convert to fraction form
   45,994/100,820 = 100,820/x
3. Step 3: Cross multiply
   45,994x = 100,820 × 100,820
4. Step 4: Simplify right side
   45,994x = 10,164,672,400
5. Step 5: Solve for x
   x = 10,164,672,400/45,994
6. Step 6: Final answer
   x = 220,999.97