Finding the Third Proportional to 42,312 and 90,456

Step by Step Solution

1. Step 1: Write the proportion equation
   42,312 : 90,456 = 90,456 : x
2. Step 2: Convert to fraction form
   42,312/90,456 = 90,456/x
3. Step 3: Cross multiply
   42,312x = 90,456 × 90,456
4. Step 4: Simplify right side
   42,312x = 8,182,287,936
5. Step 5: Solve for x
   x = 8,182,287,936/42,312
6. Step 6: Final answer
   x = 193,379.84