Finding the Third Proportional to 85,440 and 187,338

Step by Step Solution

1. Step 1: Write the proportion equation
   85,440 : 187,338 = 187,338 : x
2. Step 2: Convert to fraction form
   85,440/187,338 = 187,338/x
3. Step 3: Cross multiply
   85,440x = 187,338 × 187,338
4. Step 4: Simplify right side
   85,440x = 35,095,526,244
5. Step 5: Solve for x
   x = 35,095,526,244/85,440
6. Step 6: Final answer
   x = 410,762.25