Finding the Third Proportional to 185,526 and 397,336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,526 : 397,336.50 = 397,336.50 : x
2. Step 2: Convert to fraction form
   185,526/397,336.50 = 397,336.50/x
3. Step 3: Cross multiply
   185,526x = 397,336.50 × 397,336.50
4. Step 4: Simplify right side
   185,526x = 157,876,294,232.25
5. Step 5: Solve for x
   x = 157,876,294,232.25/185,526
6. Step 6: Final answer
   x = 850,965.87