Finding the Third Proportional to 118,208 and 158,584

Step by Step Solution

1. Step 1: Write the proportion equation
   118,208 : 158,584 = 158,584 : x
2. Step 2: Convert to fraction form
   118,208/158,584 = 158,584/x
3. Step 3: Cross multiply
   118,208x = 158,584 × 158,584
4. Step 4: Simplify right side
   118,208x = 25,148,885,056
5. Step 5: Solve for x
   x = 25,148,885,056/118,208
6. Step 6: Final answer
   x = 212,751.13