Finding the Third Proportional to 90,804 and 138,126

Step by Step Solution

1. Step 1: Write the proportion equation
   90,804 : 138,126 = 138,126 : x
2. Step 2: Convert to fraction form
   90,804/138,126 = 138,126/x
3. Step 3: Cross multiply
   90,804x = 138,126 × 138,126
4. Step 4: Simplify right side
   90,804x = 19,078,791,876
5. Step 5: Solve for x
   x = 19,078,791,876/90,804
6. Step 6: Final answer
   x = 210,109.60