Finding the Third Proportional to 42,509 and 93,406

Step by Step Solution

1. Step 1: Write the proportion equation
   42,509 : 93,406 = 93,406 : x
2. Step 2: Convert to fraction form
   42,509/93,406 = 93,406/x
3. Step 3: Cross multiply
   42,509x = 93,406 × 93,406
4. Step 4: Simplify right side
   42,509x = 8,724,680,836
5. Step 5: Solve for x
   x = 8,724,680,836/42,509
6. Step 6: Final answer
   x = 205,243.14