Finding the Third Proportional to 113,178 and 169,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,178 : 169,780.50 = 169,780.50 : x
2. Step 2: Convert to fraction form
   113,178/169,780.50 = 169,780.50/x
3. Step 3: Cross multiply
   113,178x = 169,780.50 × 169,780.50
4. Step 4: Simplify right side
   113,178x = 28,825,418,180.25
5. Step 5: Solve for x
   x = 28,825,418,180.25/113,178
6. Step 6: Final answer
   x = 254,691.00