Finding the Third Proportional to 112,776 and 262,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   112,776 : 262,234.50 = 262,234.50 : x
2. Step 2: Convert to fraction form
   112,776/262,234.50 = 262,234.50/x
3. Step 3: Cross multiply
   112,776x = 262,234.50 × 262,234.50
4. Step 4: Simplify right side
   112,776x = 68,766,932,990.25
5. Step 5: Solve for x
   x = 68,766,932,990.25/112,776
6. Step 6: Final answer
   x = 609,765.67