Finding the Third Proportional to 308,924 and 493,362

Step by Step Solution

1. Step 1: Write the proportion equation
   308,924 : 493,362 = 493,362 : x
2. Step 2: Convert to fraction form
   308,924/493,362 = 493,362/x
3. Step 3: Cross multiply
   308,924x = 493,362 × 493,362
4. Step 4: Simplify right side
   308,924x = 243,406,063,044
5. Step 5: Solve for x
   x = 243,406,063,044/308,924
6. Step 6: Final answer
   x = 787,915.68