Finding the Third Proportional to 42,094 and 90,748

Step by Step Solution

1. Step 1: Write the proportion equation
   42,094 : 90,748 = 90,748 : x
2. Step 2: Convert to fraction form
   42,094/90,748 = 90,748/x
3. Step 3: Cross multiply
   42,094x = 90,748 × 90,748
4. Step 4: Simplify right side
   42,094x = 8,235,199,504
5. Step 5: Solve for x
   x = 8,235,199,504/42,094
6. Step 6: Final answer
   x = 195,638.32