Finding the Third Proportional to 90,603 and 193,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,603 : 193,672.50 = 193,672.50 : x
2. Step 2: Convert to fraction form
   90,603/193,672.50 = 193,672.50/x
3. Step 3: Cross multiply
   90,603x = 193,672.50 × 193,672.50
4. Step 4: Simplify right side
   90,603x = 37,509,037,256.25
5. Step 5: Solve for x
   x = 37,509,037,256.25/90,603
6. Step 6: Final answer
   x = 413,993.33