Finding the Third Proportional to 76,342 and 105,488

Step by Step Solution

1. Step 1: Write the proportion equation
   76,342 : 105,488 = 105,488 : x
2. Step 2: Convert to fraction form
   76,342/105,488 = 105,488/x
3. Step 3: Cross multiply
   76,342x = 105,488 × 105,488
4. Step 4: Simplify right side
   76,342x = 11,127,718,144
5. Step 5: Solve for x
   x = 11,127,718,144/76,342
6. Step 6: Final answer
   x = 145,761.42