Finding the Third Proportional to 83,499.75 and 169,914.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,499.75 : 169,914.75 = 169,914.75 : x
2. Step 2: Convert to fraction form
   83,499.75/169,914.75 = 169,914.75/x
3. Step 3: Cross multiply
   83,499.75x = 169,914.75 × 169,914.75
4. Step 4: Simplify right side
   83,499.75x = 28,871,022,267.56
5. Step 5: Solve for x
   x = 28,871,022,267.56/83,499.75
6. Step 6: Final answer
   x = 345,761.78