Finding the Third Proportional to 463,227 and 692,113

Step by Step Solution

1. Step 1: Write the proportion equation
   463,227 : 692,113 = 692,113 : x
2. Step 2: Convert to fraction form
   463,227/692,113 = 692,113/x
3. Step 3: Cross multiply
   463,227x = 692,113 × 692,113
4. Step 4: Simplify right side
   463,227x = 479,020,404,769
5. Step 5: Solve for x
   x = 479,020,404,769/463,227
6. Step 6: Final answer
   x = 1,034,094.31