Finding the Third Proportional to 526,401 and 786,092

Step by Step Solution

1. Step 1: Write the proportion equation
   526,401 : 786,092 = 786,092 : x
2. Step 2: Convert to fraction form
   526,401/786,092 = 786,092/x
3. Step 3: Cross multiply
   526,401x = 786,092 × 786,092
4. Step 4: Simplify right side
   526,401x = 617,940,632,464
5. Step 5: Solve for x
   x = 617,940,632,464/526,401
6. Step 6: Final answer
   x = 1,173,897.15