Finding the Third Proportional to 83,878.50 and 167,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,878.50 : 167,695.50 = 167,695.50 : x
2. Step 2: Convert to fraction form
   83,878.50/167,695.50 = 167,695.50/x
3. Step 3: Cross multiply
   83,878.50x = 167,695.50 × 167,695.50
4. Step 4: Simplify right side
   83,878.50x = 28,121,780,720.25
5. Step 5: Solve for x
   x = 28,121,780,720.25/83,878.50
6. Step 6: Final answer
   x = 335,268.05