Finding the Third Proportional to 116,829 and 166,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,829 : 166,495.50 = 166,495.50 : x
2. Step 2: Convert to fraction form
   116,829/166,495.50 = 166,495.50/x
3. Step 3: Cross multiply
   116,829x = 166,495.50 × 166,495.50
4. Step 4: Simplify right side
   116,829x = 27,720,751,520.25
5. Step 5: Solve for x
   x = 27,720,751,520.25/116,829
6. Step 6: Final answer
   x = 237,276.29