Finding the Third Proportional to 114,931.50 and 178,377

Step by Step Solution

1. Step 1: Write the proportion equation
   114,931.50 : 178,377 = 178,377 : x
2. Step 2: Convert to fraction form
   114,931.50/178,377 = 178,377/x
3. Step 3: Cross multiply
   114,931.50x = 178,377 × 178,377
4. Step 4: Simplify right side
   114,931.50x = 31,818,354,129
5. Step 5: Solve for x
   x = 31,818,354,129/114,931.50
6. Step 6: Final answer
   x = 276,846.24