Finding the Third Proportional to 69,376 and 109,751

Step by Step Solution

1. Step 1: Write the proportion equation
   69,376 : 109,751 = 109,751 : x
2. Step 2: Convert to fraction form
   69,376/109,751 = 109,751/x
3. Step 3: Cross multiply
   69,376x = 109,751 × 109,751
4. Step 4: Simplify right side
   69,376x = 12,045,282,001
5. Step 5: Solve for x
   x = 12,045,282,001/69,376
6. Step 6: Final answer
   x = 173,623.18