Finding the Third Proportional to 76,493 and 110,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,493 : 110,171.50 = 110,171.50 : x
2. Step 2: Convert to fraction form
   76,493/110,171.50 = 110,171.50/x
3. Step 3: Cross multiply
   76,493x = 110,171.50 × 110,171.50
4. Step 4: Simplify right side
   76,493x = 12,137,759,412.25
5. Step 5: Solve for x
   x = 12,137,759,412.25/76,493
6. Step 6: Final answer
   x = 158,678.04