Finding the Third Proportional to 114,939 and 178,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,939 : 178,807.50 = 178,807.50 : x
2. Step 2: Convert to fraction form
   114,939/178,807.50 = 178,807.50/x
3. Step 3: Cross multiply
   114,939x = 178,807.50 × 178,807.50
4. Step 4: Simplify right side
   114,939x = 31,972,122,056.25
5. Step 5: Solve for x
   x = 31,972,122,056.25/114,939
6. Step 6: Final answer
   x = 278,166.00