Finding the Third Proportional to 83,775 and 110,110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,775 : 110,110.50 = 110,110.50 : x
2. Step 2: Convert to fraction form
   83,775/110,110.50 = 110,110.50/x
3. Step 3: Cross multiply
   83,775x = 110,110.50 × 110,110.50
4. Step 4: Simplify right side
   83,775x = 12,124,322,210.25
5. Step 5: Solve for x
   x = 12,124,322,210.25/83,775
6. Step 6: Final answer
   x = 144,724.82