Finding the Third Proportional to 42,077 and 90,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,077 : 90,714.50 = 90,714.50 : x
2. Step 2: Convert to fraction form
   42,077/90,714.50 = 90,714.50/x
3. Step 3: Cross multiply
   42,077x = 90,714.50 × 90,714.50
4. Step 4: Simplify right side
   42,077x = 8,229,120,510.25
5. Step 5: Solve for x
   x = 8,229,120,510.25/42,077
6. Step 6: Final answer
   x = 195,572.89