Finding the Third Proportional to 75,442.50 and 157,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,442.50 : 157,081.50 = 157,081.50 : x
2. Step 2: Convert to fraction form
   75,442.50/157,081.50 = 157,081.50/x
3. Step 3: Cross multiply
   75,442.50x = 157,081.50 × 157,081.50
4. Step 4: Simplify right side
   75,442.50x = 24,674,597,642.25
5. Step 5: Solve for x
   x = 24,674,597,642.25/75,442.50
6. Step 6: Final answer
   x = 327,064.95