Finding the Third Proportional to 116,967 and 176,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,967 : 176,458.50 = 176,458.50 : x
2. Step 2: Convert to fraction form
   116,967/176,458.50 = 176,458.50/x
3. Step 3: Cross multiply
   116,967x = 176,458.50 × 176,458.50
4. Step 4: Simplify right side
   116,967x = 31,137,602,222.25
5. Step 5: Solve for x
   x = 31,137,602,222.25/116,967
6. Step 6: Final answer
   x = 266,208.44