Finding the Third Proportional to 127,158 and 194,157

Step by Step Solution

1. Step 1: Write the proportion equation
   127,158 : 194,157 = 194,157 : x
2. Step 2: Convert to fraction form
   127,158/194,157 = 194,157/x
3. Step 3: Cross multiply
   127,158x = 194,157 × 194,157
4. Step 4: Simplify right side
   127,158x = 37,696,940,649
5. Step 5: Solve for x
   x = 37,696,940,649/127,158
6. Step 6: Final answer
   x = 296,457.48