Finding the Third Proportional to 177,282 and 382,981.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,282 : 382,981.50 = 382,981.50 : x
2. Step 2: Convert to fraction form
   177,282/382,981.50 = 382,981.50/x
3. Step 3: Cross multiply
   177,282x = 382,981.50 × 382,981.50
4. Step 4: Simplify right side
   177,282x = 146,674,829,342.25
5. Step 5: Solve for x
   x = 146,674,829,342.25/177,282
6. Step 6: Final answer
   x = 827,353.20