Finding the Third Proportional to 42,072 and 89,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,072 : 89,704.50 = 89,704.50 : x
2. Step 2: Convert to fraction form
   42,072/89,704.50 = 89,704.50/x
3. Step 3: Cross multiply
   42,072x = 89,704.50 × 89,704.50
4. Step 4: Simplify right side
   42,072x = 8,046,897,320.25
5. Step 5: Solve for x
   x = 8,046,897,320.25/42,072
6. Step 6: Final answer
   x = 191,264.91