Finding the Third Proportional to 72,419.50 and 113,750.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,419.50 : 113,750.50 = 113,750.50 : x
2. Step 2: Convert to fraction form
   72,419.50/113,750.50 = 113,750.50/x
3. Step 3: Cross multiply
   72,419.50x = 113,750.50 × 113,750.50
4. Step 4: Simplify right side
   72,419.50x = 12,939,176,250.25
5. Step 5: Solve for x
   x = 12,939,176,250.25/72,419.50
6. Step 6: Final answer
   x = 178,669.78