Finding the Third Proportional to 76,803 and 119,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,803 : 119,200.50 = 119,200.50 : x
2. Step 2: Convert to fraction form
   76,803/119,200.50 = 119,200.50/x
3. Step 3: Cross multiply
   76,803x = 119,200.50 × 119,200.50
4. Step 4: Simplify right side
   76,803x = 14,208,759,200.25
5. Step 5: Solve for x
   x = 14,208,759,200.25/76,803
6. Step 6: Final answer
   x = 185,002.66