Finding the Third Proportional to 42,396 and 92,076

Step by Step Solution

1. Step 1: Write the proportion equation
   42,396 : 92,076 = 92,076 : x
2. Step 2: Convert to fraction form
   42,396/92,076 = 92,076/x
3. Step 3: Cross multiply
   42,396x = 92,076 × 92,076
4. Step 4: Simplify right side
   42,396x = 8,477,989,776
5. Step 5: Solve for x
   x = 8,477,989,776/42,396
6. Step 6: Final answer
   x = 199,971.45