Finding the Third Proportional to 42,295.50 and 90,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,295.50 : 90,970.50 = 90,970.50 : x
2. Step 2: Convert to fraction form
   42,295.50/90,970.50 = 90,970.50/x
3. Step 3: Cross multiply
   42,295.50x = 90,970.50 × 90,970.50
4. Step 4: Simplify right side
   42,295.50x = 8,275,631,870.25
5. Step 5: Solve for x
   x = 8,275,631,870.25/42,295.50
6. Step 6: Final answer
   x = 195,662.23