Finding the Third Proportional to 178,098.75 and 384,613.31

Step by Step Solution

1. Step 1: Write the proportion equation
   178,098.75 : 384,613.31 = 384,613.31 : x
2. Step 2: Convert to fraction form
   178,098.75/384,613.31 = 384,613.31/x
3. Step 3: Cross multiply
   178,098.75x = 384,613.31 × 384,613.31
4. Step 4: Simplify right side
   178,098.75x = 147,927,400,152.22
5. Step 5: Solve for x
   x = 147,927,400,152.22/178,098.75
6. Step 6: Final answer
   x = 830,592.02