Finding the Third Proportional to 42,142.50 and 90,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,142.50 : 90,634.50 = 90,634.50 : x
2. Step 2: Convert to fraction form
   42,142.50/90,634.50 = 90,634.50/x
3. Step 3: Cross multiply
   42,142.50x = 90,634.50 × 90,634.50
4. Step 4: Simplify right side
   42,142.50x = 8,214,612,590.25
5. Step 5: Solve for x
   x = 8,214,612,590.25/42,142.50
6. Step 6: Final answer
   x = 194,924.66