Finding the Third Proportional to 90,598.50 and 204,685.31

Step by Step Solution

1. Step 1: Write the proportion equation
   90,598.50 : 204,685.31 = 204,685.31 : x
2. Step 2: Convert to fraction form
   90,598.50/204,685.31 = 204,685.31/x
3. Step 3: Cross multiply
   90,598.50x = 204,685.31 × 204,685.31
4. Step 4: Simplify right side
   90,598.50x = 41,896,077,153.22
5. Step 5: Solve for x
   x = 41,896,077,153.22/90,598.50
6. Step 6: Final answer
   x = 462,436.76