Finding the Third Proportional to 86,424 and 116,146

Step by Step Solution

1. Step 1: Write the proportion equation
   86,424 : 116,146 = 116,146 : x
2. Step 2: Convert to fraction form
   86,424/116,146 = 116,146/x
3. Step 3: Cross multiply
   86,424x = 116,146 × 116,146
4. Step 4: Simplify right side
   86,424x = 13,489,893,316
5. Step 5: Solve for x
   x = 13,489,893,316/86,424
6. Step 6: Final answer
   x = 156,089.67