Finding the Third Proportional to 106,509 and 167,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,509 : 167,077.50 = 167,077.50 : x
2. Step 2: Convert to fraction form
   106,509/167,077.50 = 167,077.50/x
3. Step 3: Cross multiply
   106,509x = 167,077.50 × 167,077.50
4. Step 4: Simplify right side
   106,509x = 27,914,891,006.25
5. Step 5: Solve for x
   x = 27,914,891,006.25/106,509
6. Step 6: Final answer
   x = 262,089.50