Finding the Third Proportional to 88,593.75 and 194,411.25

Step by Step Solution

1. Step 1: Write the proportion equation
   88,593.75 : 194,411.25 = 194,411.25 : x
2. Step 2: Convert to fraction form
   88,593.75/194,411.25 = 194,411.25/x
3. Step 3: Cross multiply
   88,593.75x = 194,411.25 × 194,411.25
4. Step 4: Simplify right side
   88,593.75x = 37,795,734,126.56
5. Step 5: Solve for x
   x = 37,795,734,126.56/88,593.75
6. Step 6: Final answer
   x = 426,618.52