Finding the Third Proportional to 67,141 and 145,127

Step by Step Solution

1. Step 1: Write the proportion equation
   67,141 : 145,127 = 145,127 : x
2. Step 2: Convert to fraction form
   67,141/145,127 = 145,127/x
3. Step 3: Cross multiply
   67,141x = 145,127 × 145,127
4. Step 4: Simplify right side
   67,141x = 21,061,846,129
5. Step 5: Solve for x
   x = 21,061,846,129/67,141
6. Step 6: Final answer
   x = 313,695.75