Finding the Third Proportional to 42,346 and 90,172

Step by Step Solution

1. Step 1: Write the proportion equation
   42,346 : 90,172 = 90,172 : x
2. Step 2: Convert to fraction form
   42,346/90,172 = 90,172/x
3. Step 3: Cross multiply
   42,346x = 90,172 × 90,172
4. Step 4: Simplify right side
   42,346x = 8,130,989,584
5. Step 5: Solve for x
   x = 8,130,989,584/42,346
6. Step 6: Final answer
   x = 192,013.17