Finding the Third Proportional to 72,496 and 102,092

Step by Step Solution

1. Step 1: Write the proportion equation
   72,496 : 102,092 = 102,092 : x
2. Step 2: Convert to fraction form
   72,496/102,092 = 102,092/x
3. Step 3: Cross multiply
   72,496x = 102,092 × 102,092
4. Step 4: Simplify right side
   72,496x = 10,422,776,464
5. Step 5: Solve for x
   x = 10,422,776,464/72,496
6. Step 6: Final answer
   x = 143,770.37