Finding the Third Proportional to 83,723.50 and 117,108.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,723.50 : 117,108.50 = 117,108.50 : x
2. Step 2: Convert to fraction form
   83,723.50/117,108.50 = 117,108.50/x
3. Step 3: Cross multiply
   83,723.50x = 117,108.50 × 117,108.50
4. Step 4: Simplify right side
   83,723.50x = 13,714,400,772.25
5. Step 5: Solve for x
   x = 13,714,400,772.25/83,723.50
6. Step 6: Final answer
   x = 163,805.87