Finding the Third Proportional to 245,349 and 378,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   245,349 : 378,877.50 = 378,877.50 : x
2. Step 2: Convert to fraction form
   245,349/378,877.50 = 378,877.50/x
3. Step 3: Cross multiply
   245,349x = 378,877.50 × 378,877.50
4. Step 4: Simplify right side
   245,349x = 143,548,160,006.25
5. Step 5: Solve for x
   x = 143,548,160,006.25/245,349
6. Step 6: Final answer
   x = 585,077.42