Finding the Third Proportional to 58,644 and 138,300

Step by Step Solution

1. Step 1: Write the proportion equation
   58,644 : 138,300 = 138,300 : x
2. Step 2: Convert to fraction form
   58,644/138,300 = 138,300/x
3. Step 3: Cross multiply
   58,644x = 138,300 × 138,300
4. Step 4: Simplify right side
   58,644x = 19,126,890,000
5. Step 5: Solve for x
   x = 19,126,890,000/58,644
6. Step 6: Final answer
   x = 326,152.55