Finding the Third Proportional to 85,375.50 and 123,342.75

Step by Step Solution

1. Step 1: Write the proportion equation
   85,375.50 : 123,342.75 = 123,342.75 : x
2. Step 2: Convert to fraction form
   85,375.50/123,342.75 = 123,342.75/x
3. Step 3: Cross multiply
   85,375.50x = 123,342.75 × 123,342.75
4. Step 4: Simplify right side
   85,375.50x = 15,213,433,977.56
5. Step 5: Solve for x
   x = 15,213,433,977.56/85,375.50
6. Step 6: Final answer
   x = 178,194.38