Finding the Third Proportional to 137,156 and 213,752

Step by Step Solution

1. Step 1: Write the proportion equation
   137,156 : 213,752 = 213,752 : x
2. Step 2: Convert to fraction form
   137,156/213,752 = 213,752/x
3. Step 3: Cross multiply
   137,156x = 213,752 × 213,752
4. Step 4: Simplify right side
   137,156x = 45,689,917,504
5. Step 5: Solve for x
   x = 45,689,917,504/137,156
6. Step 6: Final answer
   x = 333,123.72