Finding the Third Proportional to 177,117 and 382,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,117 : 382,216.50 = 382,216.50 : x
2. Step 2: Convert to fraction form
   177,117/382,216.50 = 382,216.50/x
3. Step 3: Cross multiply
   177,117x = 382,216.50 × 382,216.50
4. Step 4: Simplify right side
   177,117x = 146,089,452,872.25
5. Step 5: Solve for x
   x = 146,089,452,872.25/177,117
6. Step 6: Final answer
   x = 824,818.92