Finding the Third Proportional to 205,092 and 314,820

Step by Step Solution

1. Step 1: Write the proportion equation
   205,092 : 314,820 = 314,820 : x
2. Step 2: Convert to fraction form
   205,092/314,820 = 314,820/x
3. Step 3: Cross multiply
   205,092x = 314,820 × 314,820
4. Step 4: Simplify right side
   205,092x = 99,111,632,400
5. Step 5: Solve for x
   x = 99,111,632,400/205,092
6. Step 6: Final answer
   x = 483,254.50