Finding the Third Proportional to 75,427.50 and 111,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,427.50 : 111,835.50 = 111,835.50 : x
2. Step 2: Convert to fraction form
   75,427.50/111,835.50 = 111,835.50/x
3. Step 3: Cross multiply
   75,427.50x = 111,835.50 × 111,835.50
4. Step 4: Simplify right side
   75,427.50x = 12,507,179,060.25
5. Step 5: Solve for x
   x = 12,507,179,060.25/75,427.50
6. Step 6: Final answer
   x = 165,817.23