Finding the Third Proportional to 194,152.50 and 415,298.25

Step by Step Solution

1. Step 1: Write the proportion equation
   194,152.50 : 415,298.25 = 415,298.25 : x
2. Step 2: Convert to fraction form
   194,152.50/415,298.25 = 415,298.25/x
3. Step 3: Cross multiply
   194,152.50x = 415,298.25 × 415,298.25
4. Step 4: Simplify right side
   194,152.50x = 172,472,636,453.06
5. Step 5: Solve for x
   x = 172,472,636,453.06/194,152.50
6. Step 6: Final answer
   x = 888,335.90