Finding the Third Proportional to 113,577 and 178,193.25

Step by Step Solution

1. Step 1: Write the proportion equation
   113,577 : 178,193.25 = 178,193.25 : x
2. Step 2: Convert to fraction form
   113,577/178,193.25 = 178,193.25/x
3. Step 3: Cross multiply
   113,577x = 178,193.25 × 178,193.25
4. Step 4: Simplify right side
   113,577x = 31,752,834,345.56
5. Step 5: Solve for x
   x = 31,752,834,345.56/113,577
6. Step 6: Final answer
   x = 279,570.99