Finding the Third Proportional to 188,424 and 385,488

Step by Step Solution

1. Step 1: Write the proportion equation
   188,424 : 385,488 = 385,488 : x
2. Step 2: Convert to fraction form
   188,424/385,488 = 385,488/x
3. Step 3: Cross multiply
   188,424x = 385,488 × 385,488
4. Step 4: Simplify right side
   188,424x = 148,600,998,144
5. Step 5: Solve for x
   x = 148,600,998,144/188,424
6. Step 6: Final answer
   x = 788,652.18