Finding the Third Proportional to 378,153 and 585,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,153 : 585,463.50 = 585,463.50 : x
2. Step 2: Convert to fraction form
   378,153/585,463.50 = 585,463.50/x
3. Step 3: Cross multiply
   378,153x = 585,463.50 × 585,463.50
4. Step 4: Simplify right side
   378,153x = 342,767,509,832.25
5. Step 5: Solve for x
   x = 342,767,509,832.25/378,153
6. Step 6: Final answer
   x = 906,425.47