Finding the Third Proportional to 85,420 and 187,468

Step by Step Solution

1. Step 1: Write the proportion equation
   85,420 : 187,468 = 187,468 : x
2. Step 2: Convert to fraction form
   85,420/187,468 = 187,468/x
3. Step 3: Cross multiply
   85,420x = 187,468 × 187,468
4. Step 4: Simplify right side
   85,420x = 35,144,251,024
5. Step 5: Solve for x
   x = 35,144,251,024/85,420
6. Step 6: Final answer
   x = 411,428.83