Finding the Third Proportional to 75,423 and 111,830

Step by Step Solution

1. Step 1: Write the proportion equation
   75,423 : 111,830 = 111,830 : x
2. Step 2: Convert to fraction form
   75,423/111,830 = 111,830/x
3. Step 3: Cross multiply
   75,423x = 111,830 × 111,830
4. Step 4: Simplify right side
   75,423x = 12,505,948,900
5. Step 5: Solve for x
   x = 12,505,948,900/75,423
6. Step 6: Final answer
   x = 165,810.81