Finding the Third Proportional to 42,466 and 91,196

Step by Step Solution

1. Step 1: Write the proportion equation
   42,466 : 91,196 = 91,196 : x
2. Step 2: Convert to fraction form
   42,466/91,196 = 91,196/x
3. Step 3: Cross multiply
   42,466x = 91,196 × 91,196
4. Step 4: Simplify right side
   42,466x = 8,316,710,416
5. Step 5: Solve for x
   x = 8,316,710,416/42,466
6. Step 6: Final answer
   x = 195,843.98