Finding the Third Proportional to 102,627 and 166,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,627 : 166,333.50 = 166,333.50 : x
2. Step 2: Convert to fraction form
   102,627/166,333.50 = 166,333.50/x
3. Step 3: Cross multiply
   102,627x = 166,333.50 × 166,333.50
4. Step 4: Simplify right side
   102,627x = 27,666,833,222.25
5. Step 5: Solve for x
   x = 27,666,833,222.25/102,627
6. Step 6: Final answer
   x = 269,586.30