Finding the Third Proportional to 76,950 and 118,199.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,950 : 118,199.25 = 118,199.25 : x
2. Step 2: Convert to fraction form
   76,950/118,199.25 = 118,199.25/x
3. Step 3: Cross multiply
   76,950x = 118,199.25 × 118,199.25
4. Step 4: Simplify right side
   76,950x = 13,971,062,700.56
5. Step 5: Solve for x
   x = 13,971,062,700.56/76,950
6. Step 6: Final answer
   x = 181,560.27