Finding the Third Proportional to 42,509 and 92,380

Step by Step Solution

1. Step 1: Write the proportion equation
   42,509 : 92,380 = 92,380 : x
2. Step 2: Convert to fraction form
   42,509/92,380 = 92,380/x
3. Step 3: Cross multiply
   42,509x = 92,380 × 92,380
4. Step 4: Simplify right side
   42,509x = 8,534,064,400
5. Step 5: Solve for x
   x = 8,534,064,400/42,509
6. Step 6: Final answer
   x = 200,759.00