Finding the Third Proportional to 76,106.50 and 120,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,106.50 : 120,505.50 = 120,505.50 : x
2. Step 2: Convert to fraction form
   76,106.50/120,505.50 = 120,505.50/x
3. Step 3: Cross multiply
   76,106.50x = 120,505.50 × 120,505.50
4. Step 4: Simplify right side
   76,106.50x = 14,521,575,530.25
5. Step 5: Solve for x
   x = 14,521,575,530.25/76,106.50
6. Step 6: Final answer
   x = 190,805.98