Finding the Third Proportional to 42,085 and 90,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,085 : 90,081.50 = 90,081.50 : x
2. Step 2: Convert to fraction form
   42,085/90,081.50 = 90,081.50/x
3. Step 3: Cross multiply
   42,085x = 90,081.50 × 90,081.50
4. Step 4: Simplify right side
   42,085x = 8,114,676,642.25
5. Step 5: Solve for x
   x = 8,114,676,642.25/42,085
6. Step 6: Final answer
   x = 192,816.36