Finding the Third Proportional to 42,590 and 89,594

Step by Step Solution

1. Step 1: Write the proportion equation
   42,590 : 89,594 = 89,594 : x
2. Step 2: Convert to fraction form
   42,590/89,594 = 89,594/x
3. Step 3: Cross multiply
   42,590x = 89,594 × 89,594
4. Step 4: Simplify right side
   42,590x = 8,027,084,836
5. Step 5: Solve for x
   x = 8,027,084,836/42,590
6. Step 6: Final answer
   x = 188,473.46