Finding the Third Proportional to 102,520 and 137,946

Step by Step Solution

1. Step 1: Write the proportion equation
   102,520 : 137,946 = 137,946 : x
2. Step 2: Convert to fraction form
   102,520/137,946 = 137,946/x
3. Step 3: Cross multiply
   102,520x = 137,946 × 137,946
4. Step 4: Simplify right side
   102,520x = 19,029,098,916
5. Step 5: Solve for x
   x = 19,029,098,916/102,520
6. Step 6: Final answer
   x = 185,613.53