Finding the Third Proportional to 175,404 and 385,798

Step by Step Solution

1. Step 1: Write the proportion equation
   175,404 : 385,798 = 385,798 : x
2. Step 2: Convert to fraction form
   175,404/385,798 = 385,798/x
3. Step 3: Cross multiply
   175,404x = 385,798 × 385,798
4. Step 4: Simplify right side
   175,404x = 148,840,096,804
5. Step 5: Solve for x
   x = 148,840,096,804/175,404
6. Step 6: Final answer
   x = 848,555.89