Finding the Third Proportional to 92,526 and 199,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,526 : 199,085.50 = 199,085.50 : x
2. Step 2: Convert to fraction form
   92,526/199,085.50 = 199,085.50/x
3. Step 3: Cross multiply
   92,526x = 199,085.50 × 199,085.50
4. Step 4: Simplify right side
   92,526x = 39,635,036,310.25
5. Step 5: Solve for x
   x = 39,635,036,310.25/92,526
6. Step 6: Final answer
   x = 428,366.47