Finding the Third Proportional to 45,100.50 and 102,006

Step by Step Solution

1. Step 1: Write the proportion equation
   45,100.50 : 102,006 = 102,006 : x
2. Step 2: Convert to fraction form
   45,100.50/102,006 = 102,006/x
3. Step 3: Cross multiply
   45,100.50x = 102,006 × 102,006
4. Step 4: Simplify right side
   45,100.50x = 10,405,224,036
5. Step 5: Solve for x
   x = 10,405,224,036/45,100.50
6. Step 6: Final answer
   x = 230,711.94