Finding the Third Proportional to 380,522.25 and 585,090

Step by Step Solution

1. Step 1: Write the proportion equation
   380,522.25 : 585,090 = 585,090 : x
2. Step 2: Convert to fraction form
   380,522.25/585,090 = 585,090/x
3. Step 3: Cross multiply
   380,522.25x = 585,090 × 585,090
4. Step 4: Simplify right side
   380,522.25x = 342,330,308,100
5. Step 5: Solve for x
   x = 342,330,308,100/380,522.25
6. Step 6: Final answer
   x = 899,632.83