Finding the Third Proportional to 178,429.50 and 262,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,429.50 : 262,714.50 = 262,714.50 : x
2. Step 2: Convert to fraction form
   178,429.50/262,714.50 = 262,714.50/x
3. Step 3: Cross multiply
   178,429.50x = 262,714.50 × 262,714.50
4. Step 4: Simplify right side
   178,429.50x = 69,018,908,510.25
5. Step 5: Solve for x
   x = 69,018,908,510.25/178,429.50
6. Step 6: Final answer
   x = 386,813.33