Finding the Third Proportional to 212,766 and 460,963.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,766 : 460,963.50 = 460,963.50 : x
2. Step 2: Convert to fraction form
   212,766/460,963.50 = 460,963.50/x
3. Step 3: Cross multiply
   212,766x = 460,963.50 × 460,963.50
4. Step 4: Simplify right side
   212,766x = 212,487,348,332.25
5. Step 5: Solve for x
   x = 212,487,348,332.25/212,766
6. Step 6: Final answer
   x = 998,690.34