Finding the Third Proportional to 89,318 and 138,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,318 : 138,897.50 = 138,897.50 : x
2. Step 2: Convert to fraction form
   89,318/138,897.50 = 138,897.50/x
3. Step 3: Cross multiply
   89,318x = 138,897.50 × 138,897.50
4. Step 4: Simplify right side
   89,318x = 19,292,515,506.25
5. Step 5: Solve for x
   x = 19,292,515,506.25/89,318
6. Step 6: Final answer
   x = 215,998.07