Finding the Third Proportional to 495,138 and 668,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   495,138 : 668,623.50 = 668,623.50 : x
2. Step 2: Convert to fraction form
   495,138/668,623.50 = 668,623.50/x
3. Step 3: Cross multiply
   495,138x = 668,623.50 × 668,623.50
4. Step 4: Simplify right side
   495,138x = 447,057,384,752.25
5. Step 5: Solve for x
   x = 447,057,384,752.25/495,138
6. Step 6: Final answer
   x = 902,894.52