Finding the Third Proportional to 89,312 and 138,164

Step by Step Solution

1. Step 1: Write the proportion equation
   89,312 : 138,164 = 138,164 : x
2. Step 2: Convert to fraction form
   89,312/138,164 = 138,164/x
3. Step 3: Cross multiply
   89,312x = 138,164 × 138,164
4. Step 4: Simplify right side
   89,312x = 19,089,290,896
5. Step 5: Solve for x
   x = 19,089,290,896/89,312
6. Step 6: Final answer
   x = 213,737.13