Finding the Third Proportional to 81,849 and 178,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,849 : 178,114.50 = 178,114.50 : x
2. Step 2: Convert to fraction form
   81,849/178,114.50 = 178,114.50/x
3. Step 3: Cross multiply
   81,849x = 178,114.50 × 178,114.50
4. Step 4: Simplify right side
   81,849x = 31,724,775,110.25
5. Step 5: Solve for x
   x = 31,724,775,110.25/81,849
6. Step 6: Final answer
   x = 387,601.25