Finding the Third Proportional to 42,509 and 92,789

Step by Step Solution

1. Step 1: Write the proportion equation
   42,509 : 92,789 = 92,789 : x
2. Step 2: Convert to fraction form
   42,509/92,789 = 92,789/x
3. Step 3: Cross multiply
   42,509x = 92,789 × 92,789
4. Step 4: Simplify right side
   42,509x = 8,609,798,521
5. Step 5: Solve for x
   x = 8,609,798,521/42,509
6. Step 6: Final answer
   x = 202,540.60