Finding the Third Proportional to 261,274 and 381,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,274 : 381,829.50 = 381,829.50 : x
2. Step 2: Convert to fraction form
   261,274/381,829.50 = 381,829.50/x
3. Step 3: Cross multiply
   261,274x = 381,829.50 × 381,829.50
4. Step 4: Simplify right side
   261,274x = 145,793,767,070.25
5. Step 5: Solve for x
   x = 145,793,767,070.25/261,274
6. Step 6: Final answer
   x = 558,011.00