Finding the Third Proportional to 106,830 and 166,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,830 : 166,072.50 = 166,072.50 : x
2. Step 2: Convert to fraction form
   106,830/166,072.50 = 166,072.50/x
3. Step 3: Cross multiply
   106,830x = 166,072.50 × 166,072.50
4. Step 4: Simplify right side
   106,830x = 27,580,075,256.25
5. Step 5: Solve for x
   x = 27,580,075,256.25/106,830
6. Step 6: Final answer
   x = 258,167.89