Finding the Third Proportional to 407,946 and 573,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   407,946 : 573,463.50 = 573,463.50 : x
2. Step 2: Convert to fraction form
   407,946/573,463.50 = 573,463.50/x
3. Step 3: Cross multiply
   407,946x = 573,463.50 × 573,463.50
4. Step 4: Simplify right side
   407,946x = 328,860,385,832.25
5. Step 5: Solve for x
   x = 328,860,385,832.25/407,946
6. Step 6: Final answer
   x = 806,137.05