Finding the Third Proportional to 81,933.50 and 110,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,933.50 : 110,698.50 = 110,698.50 : x
2. Step 2: Convert to fraction form
   81,933.50/110,698.50 = 110,698.50/x
3. Step 3: Cross multiply
   81,933.50x = 110,698.50 × 110,698.50
4. Step 4: Simplify right side
   81,933.50x = 12,254,157,902.25
5. Step 5: Solve for x
   x = 12,254,157,902.25/81,933.50
6. Step 6: Final answer
   x = 149,562.24