Finding the Third Proportional to 42,374 and 90,226

Step by Step Solution

1. Step 1: Write the proportion equation
   42,374 : 90,226 = 90,226 : x
2. Step 2: Convert to fraction form
   42,374/90,226 = 90,226/x
3. Step 3: Cross multiply
   42,374x = 90,226 × 90,226
4. Step 4: Simplify right side
   42,374x = 8,140,731,076
5. Step 5: Solve for x
   x = 8,140,731,076/42,374
6. Step 6: Final answer
   x = 192,116.18