Finding the Third Proportional to 258,512 and 546,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,512 : 546,830.50 = 546,830.50 : x
2. Step 2: Convert to fraction form
   258,512/546,830.50 = 546,830.50/x
3. Step 3: Cross multiply
   258,512x = 546,830.50 × 546,830.50
4. Step 4: Simplify right side
   258,512x = 299,023,595,730.25
5. Step 5: Solve for x
   x = 299,023,595,730.25/258,512
6. Step 6: Final answer
   x = 1,156,710.70