Finding the Third Proportional to 42,272 and 89,312

Step by Step Solution

1. Step 1: Write the proportion equation
   42,272 : 89,312 = 89,312 : x
2. Step 2: Convert to fraction form
   42,272/89,312 = 89,312/x
3. Step 3: Cross multiply
   42,272x = 89,312 × 89,312
4. Step 4: Simplify right side
   42,272x = 7,976,633,344
5. Step 5: Solve for x
   x = 7,976,633,344/42,272
6. Step 6: Final answer
   x = 188,697.80