Finding the Third Proportional to 107,062.50 and 166,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,062.50 : 166,522.50 = 166,522.50 : x
2. Step 2: Convert to fraction form
   107,062.50/166,522.50 = 166,522.50/x
3. Step 3: Cross multiply
   107,062.50x = 166,522.50 × 166,522.50
4. Step 4: Simplify right side
   107,062.50x = 27,729,743,006.25
5. Step 5: Solve for x
   x = 27,729,743,006.25/107,062.50
6. Step 6: Final answer
   x = 259,005.19