Finding the Third Proportional to 64,406 and 141,114

Step by Step Solution

1. Step 1: Write the proportion equation
   64,406 : 141,114 = 141,114 : x
2. Step 2: Convert to fraction form
   64,406/141,114 = 141,114/x
3. Step 3: Cross multiply
   64,406x = 141,114 × 141,114
4. Step 4: Simplify right side
   64,406x = 19,913,160,996
5. Step 5: Solve for x
   x = 19,913,160,996/64,406
6. Step 6: Final answer
   x = 309,181.77