Finding the Third Proportional to 116,967 and 166,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,967 : 166,702.50 = 166,702.50 : x
2. Step 2: Convert to fraction form
   116,967/166,702.50 = 166,702.50/x
3. Step 3: Cross multiply
   116,967x = 166,702.50 × 166,702.50
4. Step 4: Simplify right side
   116,967x = 27,789,723,506.25
5. Step 5: Solve for x
   x = 27,789,723,506.25/116,967
6. Step 6: Final answer
   x = 237,586.02