Finding the Third Proportional to 61,636 and 133,094

Step by Step Solution

1. Step 1: Write the proportion equation
   61,636 : 133,094 = 133,094 : x
2. Step 2: Convert to fraction form
   61,636/133,094 = 133,094/x
3. Step 3: Cross multiply
   61,636x = 133,094 × 133,094
4. Step 4: Simplify right side
   61,636x = 17,714,012,836
5. Step 5: Solve for x
   x = 17,714,012,836/61,636
6. Step 6: Final answer
   x = 287,397.18