Finding the Third Proportional to 248,775 and 382,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   248,775 : 382,567.50 = 382,567.50 : x
2. Step 2: Convert to fraction form
   248,775/382,567.50 = 382,567.50/x
3. Step 3: Cross multiply
   248,775x = 382,567.50 × 382,567.50
4. Step 4: Simplify right side
   248,775x = 146,357,892,056.25
5. Step 5: Solve for x
   x = 146,357,892,056.25/248,775
6. Step 6: Final answer
   x = 588,314.31