Finding the Third Proportional to 47,845 and 99,146

Step by Step Solution

1. Step 1: Write the proportion equation
   47,845 : 99,146 = 99,146 : x
2. Step 2: Convert to fraction form
   47,845/99,146 = 99,146/x
3. Step 3: Cross multiply
   47,845x = 99,146 × 99,146
4. Step 4: Simplify right side
   47,845x = 9,829,929,316
5. Step 5: Solve for x
   x = 9,829,929,316/47,845
6. Step 6: Final answer
   x = 205,453.64