Finding the Third Proportional to 72,494 and 102,086

Step by Step Solution

1. Step 1: Write the proportion equation
   72,494 : 102,086 = 102,086 : x
2. Step 2: Convert to fraction form
   72,494/102,086 = 102,086/x
3. Step 3: Cross multiply
   72,494x = 102,086 × 102,086
4. Step 4: Simplify right side
   72,494x = 10,421,551,396
5. Step 5: Solve for x
   x = 10,421,551,396/72,494
6. Step 6: Final answer
   x = 143,757.43