Finding the Third Proportional to 88,822.50 and 194,253

Step by Step Solution

1. Step 1: Write the proportion equation
   88,822.50 : 194,253 = 194,253 : x
2. Step 2: Convert to fraction form
   88,822.50/194,253 = 194,253/x
3. Step 3: Cross multiply
   88,822.50x = 194,253 × 194,253
4. Step 4: Simplify right side
   88,822.50x = 37,734,228,009
5. Step 5: Solve for x
   x = 37,734,228,009/88,822.50
6. Step 6: Final answer
   x = 424,827.36