Finding the Third Proportional to 101,772 and 162,042.75

Step by Step Solution

1. Step 1: Write the proportion equation
   101,772 : 162,042.75 = 162,042.75 : x
2. Step 2: Convert to fraction form
   101,772/162,042.75 = 162,042.75/x
3. Step 3: Cross multiply
   101,772x = 162,042.75 × 162,042.75
4. Step 4: Simplify right side
   101,772x = 26,257,852,827.56
5. Step 5: Solve for x
   x = 26,257,852,827.56/101,772
6. Step 6: Final answer
   x = 258,006.65