Finding the Third Proportional to 88,216 and 191,013

Step by Step Solution

1. Step 1: Write the proportion equation
   88,216 : 191,013 = 191,013 : x
2. Step 2: Convert to fraction form
   88,216/191,013 = 191,013/x
3. Step 3: Cross multiply
   88,216x = 191,013 × 191,013
4. Step 4: Simplify right side
   88,216x = 36,485,966,169
5. Step 5: Solve for x
   x = 36,485,966,169/88,216
6. Step 6: Final answer
   x = 413,598.06