Finding the Third Proportional to 42,307 and 92,203.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,307 : 92,203.50 = 92,203.50 : x
2. Step 2: Convert to fraction form
   42,307/92,203.50 = 92,203.50/x
3. Step 3: Cross multiply
   42,307x = 92,203.50 × 92,203.50
4. Step 4: Simplify right side
   42,307x = 8,501,485,412.25
5. Step 5: Solve for x
   x = 8,501,485,412.25/42,307
6. Step 6: Final answer
   x = 200,947.49