Finding the Third Proportional to 492,194 and 771,095

Step by Step Solution

1. Step 1: Write the proportion equation
   492,194 : 771,095 = 771,095 : x
2. Step 2: Convert to fraction form
   492,194/771,095 = 771,095/x
3. Step 3: Cross multiply
   492,194x = 771,095 × 771,095
4. Step 4: Simplify right side
   492,194x = 594,587,499,025
5. Step 5: Solve for x
   x = 594,587,499,025/492,194
6. Step 6: Final answer
   x = 1,208,034.84