Finding the Third Proportional to 89,964 and 137,329

Step by Step Solution

1. Step 1: Write the proportion equation
   89,964 : 137,329 = 137,329 : x
2. Step 2: Convert to fraction form
   89,964/137,329 = 137,329/x
3. Step 3: Cross multiply
   89,964x = 137,329 × 137,329
4. Step 4: Simplify right side
   89,964x = 18,859,254,241
5. Step 5: Solve for x
   x = 18,859,254,241/89,964
6. Step 6: Final answer
   x = 209,631.12