Finding the Third Proportional to 85,212 and 186,988.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,212 : 186,988.50 = 186,988.50 : x
2. Step 2: Convert to fraction form
   85,212/186,988.50 = 186,988.50/x
3. Step 3: Cross multiply
   85,212x = 186,988.50 × 186,988.50
4. Step 4: Simplify right side
   85,212x = 34,964,699,132.25
5. Step 5: Solve for x
   x = 34,964,699,132.25/85,212
6. Step 6: Final answer
   x = 410,326.00