Finding the Third Proportional to 141,308 and 194,466

Step by Step Solution

1. Step 1: Write the proportion equation
   141,308 : 194,466 = 194,466 : x
2. Step 2: Convert to fraction form
   141,308/194,466 = 194,466/x
3. Step 3: Cross multiply
   141,308x = 194,466 × 194,466
4. Step 4: Simplify right side
   141,308x = 37,817,025,156
5. Step 5: Solve for x
   x = 37,817,025,156/141,308
6. Step 6: Final answer
   x = 267,621.26