Finding the Third Proportional to 85,841.50 and 186,460

Step by Step Solution

1. Step 1: Write the proportion equation
   85,841.50 : 186,460 = 186,460 : x
2. Step 2: Convert to fraction form
   85,841.50/186,460 = 186,460/x
3. Step 3: Cross multiply
   85,841.50x = 186,460 × 186,460
4. Step 4: Simplify right side
   85,841.50x = 34,767,331,600
5. Step 5: Solve for x
   x = 34,767,331,600/85,841.50
6. Step 6: Final answer
   x = 405,017.75