Finding the Third Proportional to 65,400 and 138,141

Step by Step Solution

1. Step 1: Write the proportion equation
   65,400 : 138,141 = 138,141 : x
2. Step 2: Convert to fraction form
   65,400/138,141 = 138,141/x
3. Step 3: Cross multiply
   65,400x = 138,141 × 138,141
4. Step 4: Simplify right side
   65,400x = 19,082,935,881
5. Step 5: Solve for x
   x = 19,082,935,881/65,400
6. Step 6: Final answer
   x = 291,788.01