Finding the Third Proportional to 47,146 and 99,139

Step by Step Solution

1. Step 1: Write the proportion equation
   47,146 : 99,139 = 99,139 : x
2. Step 2: Convert to fraction form
   47,146/99,139 = 99,139/x
3. Step 3: Cross multiply
   47,146x = 99,139 × 99,139
4. Step 4: Simplify right side
   47,146x = 9,828,541,321
5. Step 5: Solve for x
   x = 9,828,541,321/47,146
6. Step 6: Final answer
   x = 208,470.31