Finding the Third Proportional to 59,352 and 138,012

Step by Step Solution

1. Step 1: Write the proportion equation
   59,352 : 138,012 = 138,012 : x
2. Step 2: Convert to fraction form
   59,352/138,012 = 138,012/x
3. Step 3: Cross multiply
   59,352x = 138,012 × 138,012
4. Step 4: Simplify right side
   59,352x = 19,047,312,144
5. Step 5: Solve for x
   x = 19,047,312,144/59,352
6. Step 6: Final answer
   x = 320,921.15