Finding the Third Proportional to 378,397 and 585,955.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,397 : 585,955.50 = 585,955.50 : x
2. Step 2: Convert to fraction form
   378,397/585,955.50 = 585,955.50/x
3. Step 3: Cross multiply
   378,397x = 585,955.50 × 585,955.50
4. Step 4: Simplify right side
   378,397x = 343,343,847,980.25
5. Step 5: Solve for x
   x = 343,343,847,980.25/378,397
6. Step 6: Final answer
   x = 907,364.09