Finding the Third Proportional to 64,926 and 138,222

Step by Step Solution

1. Step 1: Write the proportion equation
   64,926 : 138,222 = 138,222 : x
2. Step 2: Convert to fraction form
   64,926/138,222 = 138,222/x
3. Step 3: Cross multiply
   64,926x = 138,222 × 138,222
4. Step 4: Simplify right side
   64,926x = 19,105,321,284
5. Step 5: Solve for x
   x = 19,105,321,284/64,926
6. Step 6: Final answer
   x = 294,263.03