Finding the Third Proportional to 59,292 and 105,424

Step by Step Solution

1. Step 1: Write the proportion equation
   59,292 : 105,424 = 105,424 : x
2. Step 2: Convert to fraction form
   59,292/105,424 = 105,424/x
3. Step 3: Cross multiply
   59,292x = 105,424 × 105,424
4. Step 4: Simplify right side
   59,292x = 11,114,219,776
5. Step 5: Solve for x
   x = 11,114,219,776/59,292
6. Step 6: Final answer
   x = 187,448.89