Finding the Third Proportional to 42,390 and 91,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,390 : 91,462.50 = 91,462.50 : x
2. Step 2: Convert to fraction form
   42,390/91,462.50 = 91,462.50/x
3. Step 3: Cross multiply
   42,390x = 91,462.50 × 91,462.50
4. Step 4: Simplify right side
   42,390x = 8,365,388,906.25
5. Step 5: Solve for x
   x = 8,365,388,906.25/42,390
6. Step 6: Final answer
   x = 197,343.45