Finding the Third Proportional to 42,192.56 and 92,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,192.56 : 92,266.50 = 92,266.50 : x
2. Step 2: Convert to fraction form
   42,192.56/92,266.50 = 92,266.50/x
3. Step 3: Cross multiply
   42,192.56x = 92,266.50 × 92,266.50
4. Step 4: Simplify right side
   42,192.56x = 8,513,107,022.25
5. Step 5: Solve for x
   x = 8,513,107,022.25/42,192.56
6. Step 6: Final answer
   x = 201,767.95