Finding the Third Proportional to 90,514 and 138,114

Step by Step Solution

1. Step 1: Write the proportion equation
   90,514 : 138,114 = 138,114 : x
2. Step 2: Convert to fraction form
   90,514/138,114 = 138,114/x
3. Step 3: Cross multiply
   90,514x = 138,114 × 138,114
4. Step 4: Simplify right side
   90,514x = 19,075,476,996
5. Step 5: Solve for x
   x = 19,075,476,996/90,514
6. Step 6: Final answer
   x = 210,746.15