Finding the Third Proportional to 72,418.50 and 113,748.75

Step by Step Solution

1. Step 1: Write the proportion equation
   72,418.50 : 113,748.75 = 113,748.75 : x
2. Step 2: Convert to fraction form
   72,418.50/113,748.75 = 113,748.75/x
3. Step 3: Cross multiply
   72,418.50x = 113,748.75 × 113,748.75
4. Step 4: Simplify right side
   72,418.50x = 12,938,778,126.56
5. Step 5: Solve for x
   x = 12,938,778,126.56/72,418.50
6. Step 6: Final answer
   x = 178,666.75