Finding the Third Proportional to 42,154 and 89,502

Step by Step Solution

1. Step 1: Write the proportion equation
   42,154 : 89,502 = 89,502 : x
2. Step 2: Convert to fraction form
   42,154/89,502 = 89,502/x
3. Step 3: Cross multiply
   42,154x = 89,502 × 89,502
4. Step 4: Simplify right side
   42,154x = 8,010,608,004
5. Step 5: Solve for x
   x = 8,010,608,004/42,154
6. Step 6: Final answer
   x = 190,031.98