Finding the Third Proportional to 75,423 and 111,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,423 : 111,829.50 = 111,829.50 : x
2. Step 2: Convert to fraction form
   75,423/111,829.50 = 111,829.50/x
3. Step 3: Cross multiply
   75,423x = 111,829.50 × 111,829.50
4. Step 4: Simplify right side
   75,423x = 12,505,837,070.25
5. Step 5: Solve for x
   x = 12,505,837,070.25/75,423
6. Step 6: Final answer
   x = 165,809.33