Finding the Third Proportional to 85,458 and 187,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,458 : 187,006.50 = 187,006.50 : x
2. Step 2: Convert to fraction form
   85,458/187,006.50 = 187,006.50/x
3. Step 3: Cross multiply
   85,458x = 187,006.50 × 187,006.50
4. Step 4: Simplify right side
   85,458x = 34,971,431,042.25
5. Step 5: Solve for x
   x = 34,971,431,042.25/85,458
6. Step 6: Final answer
   x = 409,223.61