Finding the Third Proportional to 114,931 and 178,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,931 : 178,410.50 = 178,410.50 : x
2. Step 2: Convert to fraction form
   114,931/178,410.50 = 178,410.50/x
3. Step 3: Cross multiply
   114,931x = 178,410.50 × 178,410.50
4. Step 4: Simplify right side
   114,931x = 31,830,306,510.25
5. Step 5: Solve for x
   x = 31,830,306,510.25/114,931
6. Step 6: Final answer
   x = 276,951.44