Finding the Third Proportional to 378,129 and 585,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,129 : 585,784.50 = 585,784.50 : x
2. Step 2: Convert to fraction form
   378,129/585,784.50 = 585,784.50/x
3. Step 3: Cross multiply
   378,129x = 585,784.50 × 585,784.50
4. Step 4: Simplify right side
   378,129x = 343,143,480,440.25
5. Step 5: Solve for x
   x = 343,143,480,440.25/378,129
6. Step 6: Final answer
   x = 907,477.29