Finding the Third Proportional to 175,776 and 385,008

Step by Step Solution

1. Step 1: Write the proportion equation
   175,776 : 385,008 = 385,008 : x
2. Step 2: Convert to fraction form
   175,776/385,008 = 385,008/x
3. Step 3: Cross multiply
   175,776x = 385,008 × 385,008
4. Step 4: Simplify right side
   175,776x = 148,231,160,064
5. Step 5: Solve for x
   x = 148,231,160,064/175,776
6. Step 6: Final answer
   x = 843,295.79