Finding the Third Proportional to 65,396 and 141,158

Step by Step Solution

1. Step 1: Write the proportion equation
   65,396 : 141,158 = 141,158 : x
2. Step 2: Convert to fraction form
   65,396/141,158 = 141,158/x
3. Step 3: Cross multiply
   65,396x = 141,158 × 141,158
4. Step 4: Simplify right side
   65,396x = 19,925,580,964
5. Step 5: Solve for x
   x = 19,925,580,964/65,396
6. Step 6: Final answer
   x = 304,691.13