Finding the Third Proportional to 190,776.50 and 414,385

Step by Step Solution

1. Step 1: Write the proportion equation
   190,776.50 : 414,385 = 414,385 : x
2. Step 2: Convert to fraction form
   190,776.50/414,385 = 414,385/x
3. Step 3: Cross multiply
   190,776.50x = 414,385 × 414,385
4. Step 4: Simplify right side
   190,776.50x = 171,714,928,225
5. Step 5: Solve for x
   x = 171,714,928,225/190,776.50
6. Step 6: Final answer
   x = 900,084.28