Finding the Third Proportional to 181,380 and 393,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,380 : 393,823.50 = 393,823.50 : x
2. Step 2: Convert to fraction form
   181,380/393,823.50 = 393,823.50/x
3. Step 3: Cross multiply
   181,380x = 393,823.50 × 393,823.50
4. Step 4: Simplify right side
   181,380x = 155,096,949,152.25
5. Step 5: Solve for x
   x = 155,096,949,152.25/181,380
6. Step 6: Final answer
   x = 855,094.00