Finding the Third Proportional to 116,546.75 and 164,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,546.75 : 164,505.50 = 164,505.50 : x
2. Step 2: Convert to fraction form
   116,546.75/164,505.50 = 164,505.50/x
3. Step 3: Cross multiply
   116,546.75x = 164,505.50 × 164,505.50
4. Step 4: Simplify right side
   116,546.75x = 27,062,059,530.25
5. Step 5: Solve for x
   x = 27,062,059,530.25/116,546.75
6. Step 6: Final answer
   x = 232,199.18