Finding the Third Proportional to 113,727 and 178,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,727 : 178,402.50 = 178,402.50 : x
2. Step 2: Convert to fraction form
   113,727/178,402.50 = 178,402.50/x
3. Step 3: Cross multiply
   113,727x = 178,402.50 × 178,402.50
4. Step 4: Simplify right side
   113,727x = 31,827,452,006.25
5. Step 5: Solve for x
   x = 31,827,452,006.25/113,727
6. Step 6: Final answer
   x = 279,858.36