Finding the Third Proportional to 75,068 and 105,582

Step by Step Solution

1. Step 1: Write the proportion equation
   75,068 : 105,582 = 105,582 : x
2. Step 2: Convert to fraction form
   75,068/105,582 = 105,582/x
3. Step 3: Cross multiply
   75,068x = 105,582 × 105,582
4. Step 4: Simplify right side
   75,068x = 11,147,558,724
5. Step 5: Solve for x
   x = 11,147,558,724/75,068
6. Step 6: Final answer
   x = 148,499.48