Finding the Third Proportional to 89,312 and 138,290

Step by Step Solution

1. Step 1: Write the proportion equation
   89,312 : 138,290 = 138,290 : x
2. Step 2: Convert to fraction form
   89,312/138,290 = 138,290/x
3. Step 3: Cross multiply
   89,312x = 138,290 × 138,290
4. Step 4: Simplify right side
   89,312x = 19,124,124,100
5. Step 5: Solve for x
   x = 19,124,124,100/89,312
6. Step 6: Final answer
   x = 214,127.15