Finding the Third Proportional to 261,273 and 381,828.06

Step by Step Solution

1. Step 1: Write the proportion equation
   261,273 : 381,828.06 = 381,828.06 : x
2. Step 2: Convert to fraction form
   261,273/381,828.06 = 381,828.06/x
3. Step 3: Cross multiply
   261,273x = 381,828.06 × 381,828.06
4. Step 4: Simplify right side
   261,273x = 145,792,669,312.50
5. Step 5: Solve for x
   x = 145,792,669,312.50/261,273
6. Step 6: Final answer
   x = 558,008.94