Finding the Third Proportional to 85,914 and 188,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,914 : 188,770.50 = 188,770.50 : x
2. Step 2: Convert to fraction form
   85,914/188,770.50 = 188,770.50/x
3. Step 3: Cross multiply
   85,914x = 188,770.50 × 188,770.50
4. Step 4: Simplify right side
   85,914x = 35,634,301,670.25
5. Step 5: Solve for x
   x = 35,634,301,670.25/85,914
6. Step 6: Final answer
   x = 414,767.11