Finding the Third Proportional to 42,351 and 91,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,351 : 91,681.50 = 91,681.50 : x
2. Step 2: Convert to fraction form
   42,351/91,681.50 = 91,681.50/x
3. Step 3: Cross multiply
   42,351x = 91,681.50 × 91,681.50
4. Step 4: Simplify right side
   42,351x = 8,405,497,442.25
5. Step 5: Solve for x
   x = 8,405,497,442.25/42,351
6. Step 6: Final answer
   x = 198,472.23