Finding the Third Proportional to 75,076 and 109,710

Step by Step Solution

1. Step 1: Write the proportion equation
   75,076 : 109,710 = 109,710 : x
2. Step 2: Convert to fraction form
   75,076/109,710 = 109,710/x
3. Step 3: Cross multiply
   75,076x = 109,710 × 109,710
4. Step 4: Simplify right side
   75,076x = 12,036,284,100
5. Step 5: Solve for x
   x = 12,036,284,100/75,076
6. Step 6: Final answer
   x = 160,321.33