Finding the Third Proportional to 113,602.50 and 178,221

Step by Step Solution

1. Step 1: Write the proportion equation
   113,602.50 : 178,221 = 178,221 : x
2. Step 2: Convert to fraction form
   113,602.50/178,221 = 178,221/x
3. Step 3: Cross multiply
   113,602.50x = 178,221 × 178,221
4. Step 4: Simplify right side
   113,602.50x = 31,762,724,841
5. Step 5: Solve for x
   x = 31,762,724,841/113,602.50
6. Step 6: Final answer
   x = 279,595.30