Finding the Third Proportional to 381,315 and 506,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,315 : 506,056.50 = 506,056.50 : x
2. Step 2: Convert to fraction form
   381,315/506,056.50 = 506,056.50/x
3. Step 3: Cross multiply
   381,315x = 506,056.50 × 506,056.50
4. Step 4: Simplify right side
   381,315x = 256,093,181,192.25
5. Step 5: Solve for x
   x = 256,093,181,192.25/381,315
6. Step 6: Final answer
   x = 671,605.32