Finding the Third Proportional to 521,192 and 777,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   521,192 : 777,234.50 = 777,234.50 : x
2. Step 2: Convert to fraction form
   521,192/777,234.50 = 777,234.50/x
3. Step 3: Cross multiply
   521,192x = 777,234.50 × 777,234.50
4. Step 4: Simplify right side
   521,192x = 604,093,467,990.25
5. Step 5: Solve for x
   x = 604,093,467,990.25/521,192
6. Step 6: Final answer
   x = 1,159,061.28