Finding the Third Proportional to 117,859 and 178,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,859 : 178,500.50 = 178,500.50 : x
2. Step 2: Convert to fraction form
   117,859/178,500.50 = 178,500.50/x
3. Step 3: Cross multiply
   117,859x = 178,500.50 × 178,500.50
4. Step 4: Simplify right side
   117,859x = 31,862,428,500.25
5. Step 5: Solve for x
   x = 31,862,428,500.25/117,859
6. Step 6: Final answer
   x = 270,343.62