Finding the Third Proportional to 78,374 and 141,188

Step by Step Solution

1. Step 1: Write the proportion equation
   78,374 : 141,188 = 141,188 : x
2. Step 2: Convert to fraction form
   78,374/141,188 = 141,188/x
3. Step 3: Cross multiply
   78,374x = 141,188 × 141,188
4. Step 4: Simplify right side
   78,374x = 19,934,051,344
5. Step 5: Solve for x
   x = 19,934,051,344/78,374
6. Step 6: Final answer
   x = 254,345.21