Finding the Third Proportional to 137,216 and 215,532

Step by Step Solution

1. Step 1: Write the proportion equation
   137,216 : 215,532 = 215,532 : x
2. Step 2: Convert to fraction form
   137,216/215,532 = 215,532/x
3. Step 3: Cross multiply
   137,216x = 215,532 × 215,532
4. Step 4: Simplify right side
   137,216x = 46,454,043,024
5. Step 5: Solve for x
   x = 46,454,043,024/137,216
6. Step 6: Final answer
   x = 338,546.84