Finding the Third Proportional to 195,332.50 and 414,646

Step by Step Solution

1. Step 1: Write the proportion equation
   195,332.50 : 414,646 = 414,646 : x
2. Step 2: Convert to fraction form
   195,332.50/414,646 = 414,646/x
3. Step 3: Cross multiply
   195,332.50x = 414,646 × 414,646
4. Step 4: Simplify right side
   195,332.50x = 171,931,305,316
5. Step 5: Solve for x
   x = 171,931,305,316/195,332.50
6. Step 6: Final answer
   x = 880,198.15