Finding the Third Proportional to 113,617 and 177,841.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,617 : 177,841.50 = 177,841.50 : x
2. Step 2: Convert to fraction form
   113,617/177,841.50 = 177,841.50/x
3. Step 3: Cross multiply
   113,617x = 177,841.50 × 177,841.50
4. Step 4: Simplify right side
   113,617x = 31,627,599,122.25
5. Step 5: Solve for x
   x = 31,627,599,122.25/113,617
6. Step 6: Final answer
   x = 278,370.31