Finding the Third Proportional to 113,602.50 and 178,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,602.50 : 178,213.50 = 178,213.50 : x
2. Step 2: Convert to fraction form
   113,602.50/178,213.50 = 178,213.50/x
3. Step 3: Cross multiply
   113,602.50x = 178,213.50 × 178,213.50
4. Step 4: Simplify right side
   113,602.50x = 31,760,051,582.25
5. Step 5: Solve for x
   x = 31,760,051,582.25/113,602.50
6. Step 6: Final answer
   x = 279,571.77