Finding the Third Proportional to 42,748 and 90,272

Step by Step Solution

1. Step 1: Write the proportion equation
   42,748 : 90,272 = 90,272 : x
2. Step 2: Convert to fraction form
   42,748/90,272 = 90,272/x
3. Step 3: Cross multiply
   42,748x = 90,272 × 90,272
4. Step 4: Simplify right side
   42,748x = 8,149,033,984
5. Step 5: Solve for x
   x = 8,149,033,984/42,748
6. Step 6: Final answer
   x = 190,629.60