Finding the Third Proportional to 113,967 and 176,926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,967 : 176,926.50 = 176,926.50 : x
2. Step 2: Convert to fraction form
   113,967/176,926.50 = 176,926.50/x
3. Step 3: Cross multiply
   113,967x = 176,926.50 × 176,926.50
4. Step 4: Simplify right side
   113,967x = 31,302,986,402.25
5. Step 5: Solve for x
   x = 31,302,986,402.25/113,967
6. Step 6: Final answer
   x = 274,667.11