Finding the Third Proportional to 189,648 and 403,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,648 : 403,432.50 = 403,432.50 : x
2. Step 2: Convert to fraction form
   189,648/403,432.50 = 403,432.50/x
3. Step 3: Cross multiply
   189,648x = 403,432.50 × 403,432.50
4. Step 4: Simplify right side
   189,648x = 162,757,782,056.25
5. Step 5: Solve for x
   x = 162,757,782,056.25/189,648
6. Step 6: Final answer
   x = 858,209.85