Finding the Third Proportional to 90,782 and 138,094

Step by Step Solution

1. Step 1: Write the proportion equation
   90,782 : 138,094 = 138,094 : x
2. Step 2: Convert to fraction form
   90,782/138,094 = 138,094/x
3. Step 3: Cross multiply
   90,782x = 138,094 × 138,094
4. Step 4: Simplify right side
   90,782x = 19,069,952,836
5. Step 5: Solve for x
   x = 19,069,952,836/90,782
6. Step 6: Final answer
   x = 210,063.15