Finding the Third Proportional to 42,310 and 91,909

Step by Step Solution

1. Step 1: Write the proportion equation
   42,310 : 91,909 = 91,909 : x
2. Step 2: Convert to fraction form
   42,310/91,909 = 91,909/x
3. Step 3: Cross multiply
   42,310x = 91,909 × 91,909
4. Step 4: Simplify right side
   42,310x = 8,447,264,281
5. Step 5: Solve for x
   x = 8,447,264,281/42,310
6. Step 6: Final answer
   x = 199,651.72