Finding the Third Proportional to 416,120 and 609,362

Step by Step Solution

1. Step 1: Write the proportion equation
   416,120 : 609,362 = 609,362 : x
2. Step 2: Convert to fraction form
   416,120/609,362 = 609,362/x
3. Step 3: Cross multiply
   416,120x = 609,362 × 609,362
4. Step 4: Simplify right side
   416,120x = 371,322,047,044
5. Step 5: Solve for x
   x = 371,322,047,044/416,120
6. Step 6: Final answer
   x = 892,343.67