Finding the Third Proportional to 85,185 and 186,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,185 : 186,772.50 = 186,772.50 : x
2. Step 2: Convert to fraction form
   85,185/186,772.50 = 186,772.50/x
3. Step 3: Cross multiply
   85,185x = 186,772.50 × 186,772.50
4. Step 4: Simplify right side
   85,185x = 34,883,966,756.25
5. Step 5: Solve for x
   x = 34,883,966,756.25/85,185
6. Step 6: Final answer
   x = 409,508.33