Finding the Third Proportional to 205,362 and 413,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,362 : 413,773.50 = 413,773.50 : x
2. Step 2: Convert to fraction form
   205,362/413,773.50 = 413,773.50/x
3. Step 3: Cross multiply
   205,362x = 413,773.50 × 413,773.50
4. Step 4: Simplify right side
   205,362x = 171,208,509,302.25
5. Step 5: Solve for x
   x = 171,208,509,302.25/205,362
6. Step 6: Final answer
   x = 833,691.28