Finding the Third Proportional to 42,549 and 90,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,549 : 90,478.50 = 90,478.50 : x
2. Step 2: Convert to fraction form
   42,549/90,478.50 = 90,478.50/x
3. Step 3: Cross multiply
   42,549x = 90,478.50 × 90,478.50
4. Step 4: Simplify right side
   42,549x = 8,186,358,962.25
5. Step 5: Solve for x
   x = 8,186,358,962.25/42,549
6. Step 6: Final answer
   x = 192,398.39