Finding the Third Proportional to 137,376 and 217,127.25

Step by Step Solution

1. Step 1: Write the proportion equation
   137,376 : 217,127.25 = 217,127.25 : x
2. Step 2: Convert to fraction form
   137,376/217,127.25 = 217,127.25/x
3. Step 3: Cross multiply
   137,376x = 217,127.25 × 217,127.25
4. Step 4: Simplify right side
   137,376x = 47,144,242,692.56
5. Step 5: Solve for x
   x = 47,144,242,692.56/137,376
6. Step 6: Final answer
   x = 343,176.70