Finding the Third Proportional to 772,092 and 1,164,214

Step by Step Solution

1. Step 1: Write the proportion equation
   772,092 : 1,164,214 = 1,164,214 : x
2. Step 2: Convert to fraction form
   772,092/1,164,214 = 1,164,214/x
3. Step 3: Cross multiply
   772,092x = 1,164,214 × 1,164,214
4. Step 4: Simplify right side
   772,092x = 1,355,394,237,796
5. Step 5: Solve for x
   x = 1,355,394,237,796/772,092
6. Step 6: Final answer
   x = 1,755,482.82