Finding the Third Proportional to 85,428 and 187,488

Step by Step Solution

1. Step 1: Write the proportion equation
   85,428 : 187,488 = 187,488 : x
2. Step 2: Convert to fraction form
   85,428/187,488 = 187,488/x
3. Step 3: Cross multiply
   85,428x = 187,488 × 187,488
4. Step 4: Simplify right side
   85,428x = 35,151,750,144
5. Step 5: Solve for x
   x = 35,151,750,144/85,428
6. Step 6: Final answer
   x = 411,478.09